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Finding the Fourth Proportional to 877.47, 1,315.86 and 292.29

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Solution

The fourth proportional to 877.47, 1,315.86 and 292.29 is: 438.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.47 : 1,315.86 = 292.29 : x
  2. Step 2: Convert to fraction form
    877.47/1,315.86 = 292.29/x
  3. Step 3: Cross multiply
    877.47x = 1,315.86 × 292.29
  4. Step 4: Simplify right side
    877.47x = 384,612.72
  5. Step 5: Solve for x
    x = 384,612.72/877.47
  6. Step 6: Final answer
    x = 438.32

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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.