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Finding the Fourth Proportional to 616.10, 924.13 and 382.37

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Solution

The fourth proportional to 616.10, 924.13 and 382.37 is: 573.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.10 : 924.13 = 382.37 : x
  2. Step 2: Convert to fraction form
    616.10/924.13 = 382.37/x
  3. Step 3: Cross multiply
    616.10x = 924.13 × 382.37
  4. Step 4: Simplify right side
    616.10x = 353,359.59
  5. Step 5: Solve for x
    x = 353,359.59/616.10
  6. Step 6: Final answer
    x = 573.54

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1.5x scale

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.