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Finding the Fourth Proportional to 530.76, 732.45 and 356.34

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Solution

The fourth proportional to 530.76, 732.45 and 356.34 is: 491.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.76 : 732.45 = 356.34 : x
  2. Step 2: Convert to fraction form
    530.76/732.45 = 356.34/x
  3. Step 3: Cross multiply
    530.76x = 732.45 × 356.34
  4. Step 4: Simplify right side
    530.76x = 261,001.23
  5. Step 5: Solve for x
    x = 261,001.23/530.76
  6. Step 6: Final answer
    x = 491.75

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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.