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Finding the Fourth Proportional to 415.84, 624.08 and 358.24

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Solution

The fourth proportional to 415.84, 624.08 and 358.24 is: 537.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.84 : 624.08 = 358.24 : x
  2. Step 2: Convert to fraction form
    415.84/624.08 = 358.24/x
  3. Step 3: Cross multiply
    415.84x = 624.08 × 358.24
  4. Step 4: Simplify right side
    415.84x = 223,570.42
  5. Step 5: Solve for x
    x = 223,570.42/415.84
  6. Step 6: Final answer
    x = 537.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.