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Finding the Fourth Proportional to 702.27, 1,053.72 and 312.21

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Solution

The fourth proportional to 702.27, 1,053.72 and 312.21 is: 468.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.27 : 1,053.72 = 312.21 : x
  2. Step 2: Convert to fraction form
    702.27/1,053.72 = 312.21/x
  3. Step 3: Cross multiply
    702.27x = 1,053.72 × 312.21
  4. Step 4: Simplify right side
    702.27x = 328,981.92
  5. Step 5: Solve for x
    x = 328,981.92/702.27
  6. Step 6: Final answer
    x = 468.46

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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.