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Finding the Fourth Proportional to 877.83, 1,316.98 and 330.02

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Solution

The fourth proportional to 877.83, 1,316.98 and 330.02 is: 495.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.83 : 1,316.98 = 330.02 : x
  2. Step 2: Convert to fraction form
    877.83/1,316.98 = 330.02/x
  3. Step 3: Cross multiply
    877.83x = 1,316.98 × 330.02
  4. Step 4: Simplify right side
    877.83x = 434,629.74
  5. Step 5: Solve for x
    x = 434,629.74/877.83
  6. Step 6: Final answer
    x = 495.12

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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.