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Finding the Fourth Proportional to 387.77, 578.97 and 348.90

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Solution

The fourth proportional to 387.77, 578.97 and 348.90 is: 520.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.77 : 578.97 = 348.90 : x
  2. Step 2: Convert to fraction form
    387.77/578.97 = 348.90/x
  3. Step 3: Cross multiply
    387.77x = 578.97 × 348.90
  4. Step 4: Simplify right side
    387.77x = 202,002.63
  5. Step 5: Solve for x
    x = 202,002.63/387.77
  6. Step 6: Final answer
    x = 520.93

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.