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Finding the Fourth Proportional to 530.04, 731.03 and 382.42

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Solution

The fourth proportional to 530.04, 731.03 and 382.42 is: 527.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.04 : 731.03 = 382.42 : x
  2. Step 2: Convert to fraction form
    530.04/731.03 = 382.42/x
  3. Step 3: Cross multiply
    530.04x = 731.03 × 382.42
  4. Step 4: Simplify right side
    530.04x = 279,559.49
  5. Step 5: Solve for x
    x = 279,559.49/530.04
  6. Step 6: Final answer
    x = 527.43

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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.