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Finding the Fourth Proportional to 472.77, 652.05 and 325.35

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Solution

The fourth proportional to 472.77, 652.05 and 325.35 is: 448.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.77 : 652.05 = 325.35 : x
  2. Step 2: Convert to fraction form
    472.77/652.05 = 325.35/x
  3. Step 3: Cross multiply
    472.77x = 652.05 × 325.35
  4. Step 4: Simplify right side
    472.77x = 212,144.47
  5. Step 5: Solve for x
    x = 212,144.47/472.77
  6. Step 6: Final answer
    x = 448.73

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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.