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Finding the Fourth Proportional to 510.56, 764.64 and 401.60

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Solution

The fourth proportional to 510.56, 764.64 and 401.60 is: 601.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.56 : 764.64 = 401.60 : x
  2. Step 2: Convert to fraction form
    510.56/764.64 = 401.60/x
  3. Step 3: Cross multiply
    510.56x = 764.64 × 401.60
  4. Step 4: Simplify right side
    510.56x = 307,079.42
  5. Step 5: Solve for x
    x = 307,079.42/510.56
  6. Step 6: Final answer
    x = 601.46

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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.