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Finding the Fourth Proportional to 412.77, 572.33 and 390.90

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Solution

The fourth proportional to 412.77, 572.33 and 390.90 is: 542.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.77 : 572.33 = 390.90 : x
  2. Step 2: Convert to fraction form
    412.77/572.33 = 390.90/x
  3. Step 3: Cross multiply
    412.77x = 572.33 × 390.90
  4. Step 4: Simplify right side
    412.77x = 223,721.84
  5. Step 5: Solve for x
    x = 223,721.84/412.77
  6. Step 6: Final answer
    x = 542.00

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.