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Finding the Fourth Proportional to 510.66, 764.78 and 374.58

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Solution

The fourth proportional to 510.66, 764.78 and 374.58 is: 560.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.66 : 764.78 = 374.58 : x
  2. Step 2: Convert to fraction form
    510.66/764.78 = 374.58/x
  3. Step 3: Cross multiply
    510.66x = 764.78 × 374.58
  4. Step 4: Simplify right side
    510.66x = 286,469.42
  5. Step 5: Solve for x
    x = 286,469.42/510.66
  6. Step 6: Final answer
    x = 560.98

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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.