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Finding the Fourth Proportional to 530.76, 732.52 and 364.84

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Solution

The fourth proportional to 530.76, 732.52 and 364.84 is: 503.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.76 : 732.52 = 364.84 : x
  2. Step 2: Convert to fraction form
    530.76/732.52 = 364.84/x
  3. Step 3: Cross multiply
    530.76x = 732.52 × 364.84
  4. Step 4: Simplify right side
    530.76x = 267,252.60
  5. Step 5: Solve for x
    x = 267,252.60/530.76
  6. Step 6: Final answer
    x = 503.53

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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.