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Finding the Fourth Proportional to 697.52, 1,046.28 and 312.32

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Solution

The fourth proportional to 697.52, 1,046.28 and 312.32 is: 468.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.52 : 1,046.28 = 312.32 : x
  2. Step 2: Convert to fraction form
    697.52/1,046.28 = 312.32/x
  3. Step 3: Cross multiply
    697.52x = 1,046.28 × 312.32
  4. Step 4: Simplify right side
    697.52x = 326,774.17
  5. Step 5: Solve for x
    x = 326,774.17/697.52
  6. Step 6: Final answer
    x = 468.48

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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.