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Finding the Fourth Proportional to 616.89, 925.47 and 292.26

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Solution

The fourth proportional to 616.89, 925.47 and 292.26 is: 438.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.89 : 925.47 = 292.26 : x
  2. Step 2: Convert to fraction form
    616.89/925.47 = 292.26/x
  3. Step 3: Cross multiply
    616.89x = 925.47 × 292.26
  4. Step 4: Simplify right side
    616.89x = 270,477.86
  5. Step 5: Solve for x
    x = 270,477.86/616.89
  6. Step 6: Final answer
    x = 438.45

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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.