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Finding the Fourth Proportional to 616.10, 924.17 and 291.11

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Solution

The fourth proportional to 616.10, 924.17 and 291.11 is: 436.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.10 : 924.17 = 291.11 : x
  2. Step 2: Convert to fraction form
    616.10/924.17 = 291.11/x
  3. Step 3: Cross multiply
    616.10x = 924.17 × 291.11
  4. Step 4: Simplify right side
    616.10x = 269,029.05
  5. Step 5: Solve for x
    x = 269,029.05/616.10
  6. Step 6: Final answer
    x = 436.67

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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.