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Finding the Fourth Proportional to 616.96, 924.64 and 461.67

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Solution

The fourth proportional to 616.96, 924.64 and 461.67 is: 691.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.96 : 924.64 = 461.67 : x
  2. Step 2: Convert to fraction form
    616.96/924.64 = 461.67/x
  3. Step 3: Cross multiply
    616.96x = 924.64 × 461.67
  4. Step 4: Simplify right side
    616.96x = 426,875.23
  5. Step 5: Solve for x
    x = 426,875.23/616.96
  6. Step 6: Final answer
    x = 691.90

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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.