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Finding the Fourth Proportional to 417.30, 575.77 and 284.28

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Solution

The fourth proportional to 417.30, 575.77 and 284.28 is: 392.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.30 : 575.77 = 284.28 : x
  2. Step 2: Convert to fraction form
    417.30/575.77 = 284.28/x
  3. Step 3: Cross multiply
    417.30x = 575.77 × 284.28
  4. Step 4: Simplify right side
    417.30x = 163,679.90
  5. Step 5: Solve for x
    x = 163,679.90/417.30
  6. Step 6: Final answer
    x = 392.24

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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.