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Finding the Fourth Proportional to 526.24, 787.68 and 381.28

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Solution

The fourth proportional to 526.24, 787.68 and 381.28 is: 570.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.24 : 787.68 = 381.28 : x
  2. Step 2: Convert to fraction form
    526.24/787.68 = 381.28/x
  3. Step 3: Cross multiply
    526.24x = 787.68 × 381.28
  4. Step 4: Simplify right side
    526.24x = 300,326.63
  5. Step 5: Solve for x
    x = 300,326.63/526.24
  6. Step 6: Final answer
    x = 570.70

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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.