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Finding the Fourth Proportional to 585.56, 807.88 and 530.12

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Solution

The fourth proportional to 585.56, 807.88 and 530.12 is: 731.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.56 : 807.88 = 530.12 : x
  2. Step 2: Convert to fraction form
    585.56/807.88 = 530.12/x
  3. Step 3: Cross multiply
    585.56x = 807.88 × 530.12
  4. Step 4: Simplify right side
    585.56x = 428,273.35
  5. Step 5: Solve for x
    x = 428,273.35/585.56
  6. Step 6: Final answer
    x = 731.39

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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.