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Finding the Fourth Proportional to 530.22, 731.79 and 442.86

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Solution

The fourth proportional to 530.22, 731.79 and 442.86 is: 611.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.22 : 731.79 = 442.86 : x
  2. Step 2: Convert to fraction form
    530.22/731.79 = 442.86/x
  3. Step 3: Cross multiply
    530.22x = 731.79 × 442.86
  4. Step 4: Simplify right side
    530.22x = 324,080.52
  5. Step 5: Solve for x
    x = 324,080.52/530.22
  6. Step 6: Final answer
    x = 611.22

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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.