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Finding the Fourth Proportional to 648.32, 970.56 and 477.44

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Solution

The fourth proportional to 648.32, 970.56 and 477.44 is: 714.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.32 : 970.56 = 477.44 : x
  2. Step 2: Convert to fraction form
    648.32/970.56 = 477.44/x
  3. Step 3: Cross multiply
    648.32x = 970.56 × 477.44
  4. Step 4: Simplify right side
    648.32x = 463,384.17
  5. Step 5: Solve for x
    x = 463,384.17/648.32
  6. Step 6: Final answer
    x = 714.75

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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.