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Finding the Fourth Proportional to 417.84, 624 and 396.24

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Solution

The fourth proportional to 417.84, 624 and 396.24 is: 591.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.84 : 624 = 396.24 : x
  2. Step 2: Convert to fraction form
    417.84/624 = 396.24/x
  3. Step 3: Cross multiply
    417.84x = 624 × 396.24
  4. Step 4: Simplify right side
    417.84x = 247,253.76
  5. Step 5: Solve for x
    x = 247,253.76/417.84
  6. Step 6: Final answer
    x = 591.74

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