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Finding the Fourth Proportional to 501.56, 691.82 and 419.74

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Solution

The fourth proportional to 501.56, 691.82 and 419.74 is: 578.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.56 : 691.82 = 419.74 : x
  2. Step 2: Convert to fraction form
    501.56/691.82 = 419.74/x
  3. Step 3: Cross multiply
    501.56x = 691.82 × 419.74
  4. Step 4: Simplify right side
    501.56x = 290,384.53
  5. Step 5: Solve for x
    x = 290,384.53/501.56
  6. Step 6: Final answer
    x = 578.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.