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Finding the Fourth Proportional to 417.96, 578.34 and 362.88

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Solution

The fourth proportional to 417.96, 578.34 and 362.88 is: 502.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.96 : 578.34 = 362.88 : x
  2. Step 2: Convert to fraction form
    417.96/578.34 = 362.88/x
  3. Step 3: Cross multiply
    417.96x = 578.34 × 362.88
  4. Step 4: Simplify right side
    417.96x = 209,868.02
  5. Step 5: Solve for x
    x = 209,868.02/417.96
  6. Step 6: Final answer
    x = 502.12

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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.