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Finding the Fourth Proportional to 461.68, 691.51 and 358.16

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Solution

The fourth proportional to 461.68, 691.51 and 358.16 is: 536.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.68 : 691.51 = 358.16 : x
  2. Step 2: Convert to fraction form
    461.68/691.51 = 358.16/x
  3. Step 3: Cross multiply
    461.68x = 691.51 × 358.16
  4. Step 4: Simplify right side
    461.68x = 247,667.76
  5. Step 5: Solve for x
    x = 247,667.76/461.68
  6. Step 6: Final answer
    x = 536.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.