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Finding the Fourth Proportional to 530.76, 731.88 and 390.68

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Solution

The fourth proportional to 530.76, 731.88 and 390.68 is: 538.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.76 : 731.88 = 390.68 : x
  2. Step 2: Convert to fraction form
    530.76/731.88 = 390.68/x
  3. Step 3: Cross multiply
    530.76x = 731.88 × 390.68
  4. Step 4: Simplify right side
    530.76x = 285,930.88
  5. Step 5: Solve for x
    x = 285,930.88/530.76
  6. Step 6: Final answer
    x = 538.72

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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.