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Finding the Fourth Proportional to 472.03, 703.20 and 454.61

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Solution

The fourth proportional to 472.03, 703.20 and 454.61 is: 677.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.03 : 703.20 = 454.61 : x
  2. Step 2: Convert to fraction form
    472.03/703.20 = 454.61/x
  3. Step 3: Cross multiply
    472.03x = 703.20 × 454.61
  4. Step 4: Simplify right side
    472.03x = 319,681.75
  5. Step 5: Solve for x
    x = 319,681.75/472.03
  6. Step 6: Final answer
    x = 677.25

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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.