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Finding the Fourth Proportional to 461.67, 691.63 and 358.45

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Solution

The fourth proportional to 461.67, 691.63 and 358.45 is: 537.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.67 : 691.63 = 358.45 : x
  2. Step 2: Convert to fraction form
    461.67/691.63 = 358.45/x
  3. Step 3: Cross multiply
    461.67x = 691.63 × 358.45
  4. Step 4: Simplify right side
    461.67x = 247,914.77
  5. Step 5: Solve for x
    x = 247,914.77/461.67
  6. Step 6: Final answer
    x = 537.00

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Why These Related Problems?

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