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Finding the Fourth Proportional to 575.69, 794.10 and 502.18

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Solution

The fourth proportional to 575.69, 794.10 and 502.18 is: 692.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.69 : 794.10 = 502.18 : x
  2. Step 2: Convert to fraction form
    575.69/794.10 = 502.18/x
  3. Step 3: Cross multiply
    575.69x = 794.10 × 502.18
  4. Step 4: Simplify right side
    575.69x = 398,781.14
  5. Step 5: Solve for x
    x = 398,781.14/575.69
  6. Step 6: Final answer
    x = 692.70

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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.