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Finding the Fourth Proportional to 877.02, 1,315.40 and 292.43

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Solution

The fourth proportional to 877.02, 1,315.40 and 292.43 is: 438.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.02 : 1,315.40 = 292.43 : x
  2. Step 2: Convert to fraction form
    877.02/1,315.40 = 292.43/x
  3. Step 3: Cross multiply
    877.02x = 1,315.40 × 292.43
  4. Step 4: Simplify right side
    877.02x = 384,664.25
  5. Step 5: Solve for x
    x = 384,664.25/877.02
  6. Step 6: Final answer
    x = 438.60

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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.