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Finding the Fourth Proportional to 699.03, 964.51 and 433.59

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Solution

The fourth proportional to 699.03, 964.51 and 433.59 is: 598.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.03 : 964.51 = 433.59 : x
  2. Step 2: Convert to fraction form
    699.03/964.51 = 433.59/x
  3. Step 3: Cross multiply
    699.03x = 964.51 × 433.59
  4. Step 4: Simplify right side
    699.03x = 418,197.19
  5. Step 5: Solve for x
    x = 418,197.19/699.03
  6. Step 6: Final answer
    x = 598.25

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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.