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Finding the Fourth Proportional to 472.76, 652.10 and 325.40

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Solution

The fourth proportional to 472.76, 652.10 and 325.40 is: 448.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.76 : 652.10 = 325.40 : x
  2. Step 2: Convert to fraction form
    472.76/652.10 = 325.40/x
  3. Step 3: Cross multiply
    472.76x = 652.10 × 325.40
  4. Step 4: Simplify right side
    472.76x = 212,193.34
  5. Step 5: Solve for x
    x = 212,193.34/472.76
  6. Step 6: Final answer
    x = 448.84

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