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Finding the Fourth Proportional to 530.35, 732.19 and 353.57

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Solution

The fourth proportional to 530.35, 732.19 and 353.57 is: 488.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.35 : 732.19 = 353.57 : x
  2. Step 2: Convert to fraction form
    530.35/732.19 = 353.57/x
  3. Step 3: Cross multiply
    530.35x = 732.19 × 353.57
  4. Step 4: Simplify right side
    530.35x = 258,876.54
  5. Step 5: Solve for x
    x = 258,876.54/530.35
  6. Step 6: Final answer
    x = 488.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.