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Finding the Fourth Proportional to 527.91, 787.26 and 463.22

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Solution

The fourth proportional to 527.91, 787.26 and 463.22 is: 690.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.91 : 787.26 = 463.22 : x
  2. Step 2: Convert to fraction form
    527.91/787.26 = 463.22/x
  3. Step 3: Cross multiply
    527.91x = 787.26 × 463.22
  4. Step 4: Simplify right side
    527.91x = 364,670.64
  5. Step 5: Solve for x
    x = 364,670.64/527.91
  6. Step 6: Final answer
    x = 690.78

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Double scale
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Why These Related Problems?

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