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Finding the Fourth Proportional to 530.31, 732.08 and 353.57

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Solution

The fourth proportional to 530.31, 732.08 and 353.57 is: 488.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.31 : 732.08 = 353.57 : x
  2. Step 2: Convert to fraction form
    530.31/732.08 = 353.57/x
  3. Step 3: Cross multiply
    530.31x = 732.08 × 353.57
  4. Step 4: Simplify right side
    530.31x = 258,836.26
  5. Step 5: Solve for x
    x = 258,836.26/530.31
  6. Step 6: Final answer
    x = 488.09

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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.