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Finding the Fourth Proportional to 699.34, 964.98 and 404.55

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Solution

The fourth proportional to 699.34, 964.98 and 404.55 is: 558.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.34 : 964.98 = 404.55 : x
  2. Step 2: Convert to fraction form
    699.34/964.98 = 404.55/x
  3. Step 3: Cross multiply
    699.34x = 964.98 × 404.55
  4. Step 4: Simplify right side
    699.34x = 390,382.66
  5. Step 5: Solve for x
    x = 390,382.66/699.34
  6. Step 6: Final answer
    x = 558.22

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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.