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Finding the Fourth Proportional to 877.61, 1,316.32 and 329.74

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Solution

The fourth proportional to 877.61, 1,316.32 and 329.74 is: 494.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.61 : 1,316.32 = 329.74 : x
  2. Step 2: Convert to fraction form
    877.61/1,316.32 = 329.74/x
  3. Step 3: Cross multiply
    877.61x = 1,316.32 × 329.74
  4. Step 4: Simplify right side
    877.61x = 434,039.24
  5. Step 5: Solve for x
    x = 434,039.24/877.61
  6. Step 6: Final answer
    x = 494.57

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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.