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Finding the Fourth Proportional to 472.48, 703.52 and 471.04

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Solution

The fourth proportional to 472.48, 703.52 and 471.04 is: 701.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.48 : 703.52 = 471.04 : x
  2. Step 2: Convert to fraction form
    472.48/703.52 = 471.04/x
  3. Step 3: Cross multiply
    472.48x = 703.52 × 471.04
  4. Step 4: Simplify right side
    472.48x = 331,386.06
  5. Step 5: Solve for x
    x = 331,386.06/472.48
  6. Step 6: Final answer
    x = 701.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.