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Finding the Fourth Proportional to 508.29, 700.43 and 430.53

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Solution

The fourth proportional to 508.29, 700.43 and 430.53 is: 593.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.29 : 700.43 = 430.53 : x
  2. Step 2: Convert to fraction form
    508.29/700.43 = 430.53/x
  3. Step 3: Cross multiply
    508.29x = 700.43 × 430.53
  4. Step 4: Simplify right side
    508.29x = 301,553.98
  5. Step 5: Solve for x
    x = 301,553.98/508.29
  6. Step 6: Final answer
    x = 593.27

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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.