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Finding the Fourth Proportional to 699.05, 964.76 and 433.55

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Solution

The fourth proportional to 699.05, 964.76 and 433.55 is: 598.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.05 : 964.76 = 433.55 : x
  2. Step 2: Convert to fraction form
    699.05/964.76 = 433.55/x
  3. Step 3: Cross multiply
    699.05x = 964.76 × 433.55
  4. Step 4: Simplify right side
    699.05x = 418,264.71
  5. Step 5: Solve for x
    x = 418,264.71/699.05
  6. Step 6: Final answer
    x = 598.34

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.