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Finding the Fourth Proportional to 530.49, 729.75 and 500.25

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Solution

The fourth proportional to 530.49, 729.75 and 500.25 is: 688.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.49 : 729.75 = 500.25 : x
  2. Step 2: Convert to fraction form
    530.49/729.75 = 500.25/x
  3. Step 3: Cross multiply
    530.49x = 729.75 × 500.25
  4. Step 4: Simplify right side
    530.49x = 365,057.44
  5. Step 5: Solve for x
    x = 365,057.44/530.49
  6. Step 6: Final answer
    x = 688.15

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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.