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Finding the Fourth Proportional to 506.88, 758.16 and 383.76

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Solution

The fourth proportional to 506.88, 758.16 and 383.76 is: 574.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.88 : 758.16 = 383.76 : x
  2. Step 2: Convert to fraction form
    506.88/758.16 = 383.76/x
  3. Step 3: Cross multiply
    506.88x = 758.16 × 383.76
  4. Step 4: Simplify right side
    506.88x = 290,951.48
  5. Step 5: Solve for x
    x = 290,951.48/506.88
  6. Step 6: Final answer
    x = 574.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.