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Finding the Fourth Proportional to 530.52, 730.53 and 443.04

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Solution

The fourth proportional to 530.52, 730.53 and 443.04 is: 610.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.52 : 730.53 = 443.04 : x
  2. Step 2: Convert to fraction form
    530.52/730.53 = 443.04/x
  3. Step 3: Cross multiply
    530.52x = 730.53 × 443.04
  4. Step 4: Simplify right side
    530.52x = 323,654.01
  5. Step 5: Solve for x
    x = 323,654.01/530.52
  6. Step 6: Final answer
    x = 610.07

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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.