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Finding the Fourth Proportional to 461.57, 691.88 and 201.53

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Solution

The fourth proportional to 461.57, 691.88 and 201.53 is: 302.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.57 : 691.88 = 201.53 : x
  2. Step 2: Convert to fraction form
    461.57/691.88 = 201.53/x
  3. Step 3: Cross multiply
    461.57x = 691.88 × 201.53
  4. Step 4: Simplify right side
    461.57x = 139,430.11
  5. Step 5: Solve for x
    x = 139,430.11/461.57
  6. Step 6: Final answer
    x = 302.08

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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.