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Finding the Fourth Proportional to 415.84, 573.36 and 402.40

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Solution

The fourth proportional to 415.84, 573.36 and 402.40 is: 554.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.84 : 573.36 = 402.40 : x
  2. Step 2: Convert to fraction form
    415.84/573.36 = 402.40/x
  3. Step 3: Cross multiply
    415.84x = 573.36 × 402.40
  4. Step 4: Simplify right side
    415.84x = 230,720.06
  5. Step 5: Solve for x
    x = 230,720.06/415.84
  6. Step 6: Final answer
    x = 554.83

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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.