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Finding the Fourth Proportional to 530.93, 732.10 and 362.91

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Solution

The fourth proportional to 530.93, 732.10 and 362.91 is: 500.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.93 : 732.10 = 362.91 : x
  2. Step 2: Convert to fraction form
    530.93/732.10 = 362.91/x
  3. Step 3: Cross multiply
    530.93x = 732.10 × 362.91
  4. Step 4: Simplify right side
    530.93x = 265,684.60
  5. Step 5: Solve for x
    x = 265,684.60/530.93
  6. Step 6: Final answer
    x = 500.41

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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.