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Finding the Fourth Proportional to 530.48, 731.40 and 431.96

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Solution

The fourth proportional to 530.48, 731.40 and 431.96 is: 595.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.48 : 731.40 = 431.96 : x
  2. Step 2: Convert to fraction form
    530.48/731.40 = 431.96/x
  3. Step 3: Cross multiply
    530.48x = 731.40 × 431.96
  4. Step 4: Simplify right side
    530.48x = 315,935.54
  5. Step 5: Solve for x
    x = 315,935.54/530.48
  6. Step 6: Final answer
    x = 595.57

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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.