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Finding the Fourth Proportional to 478.57, 660.32 and 347.35

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Solution

The fourth proportional to 478.57, 660.32 and 347.35 is: 479.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.57 : 660.32 = 347.35 : x
  2. Step 2: Convert to fraction form
    478.57/660.32 = 347.35/x
  3. Step 3: Cross multiply
    478.57x = 660.32 × 347.35
  4. Step 4: Simplify right side
    478.57x = 229,360.42
  5. Step 5: Solve for x
    x = 229,360.42/478.57
  6. Step 6: Final answer
    x = 479.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.