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Finding the Fourth Proportional to 530.40, 731.78 and 431.98

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Solution

The fourth proportional to 530.40, 731.78 and 431.98 is: 595.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.40 : 731.78 = 431.98 : x
  2. Step 2: Convert to fraction form
    530.40/731.78 = 431.98/x
  3. Step 3: Cross multiply
    530.40x = 731.78 × 431.98
  4. Step 4: Simplify right side
    530.40x = 316,112.16
  5. Step 5: Solve for x
    x = 316,112.16/530.40
  6. Step 6: Final answer
    x = 595.99

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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.