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Finding the Fourth Proportional to 616.64, 925.26 and 269.92

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Solution

The fourth proportional to 616.64, 925.26 and 269.92 is: 405.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.64 : 925.26 = 269.92 : x
  2. Step 2: Convert to fraction form
    616.64/925.26 = 269.92/x
  3. Step 3: Cross multiply
    616.64x = 925.26 × 269.92
  4. Step 4: Simplify right side
    616.64x = 249,746.18
  5. Step 5: Solve for x
    x = 249,746.18/616.64
  6. Step 6: Final answer
    x = 405.01

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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.