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Finding the Fourth Proportional to 877.02, 1,315.50 and 329.16

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Solution

The fourth proportional to 877.02, 1,315.50 and 329.16 is: 493.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.02 : 1,315.50 = 329.16 : x
  2. Step 2: Convert to fraction form
    877.02/1,315.50 = 329.16/x
  3. Step 3: Cross multiply
    877.02x = 1,315.50 × 329.16
  4. Step 4: Simplify right side
    877.02x = 433,009.98
  5. Step 5: Solve for x
    x = 433,009.98/877.02
  6. Step 6: Final answer
    x = 493.73

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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.