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Finding the Fourth Proportional to 501.34, 691.76 and 304.78

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Solution

The fourth proportional to 501.34, 691.76 and 304.78 is: 420.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.34 : 691.76 = 304.78 : x
  2. Step 2: Convert to fraction form
    501.34/691.76 = 304.78/x
  3. Step 3: Cross multiply
    501.34x = 691.76 × 304.78
  4. Step 4: Simplify right side
    501.34x = 210,834.61
  5. Step 5: Solve for x
    x = 210,834.61/501.34
  6. Step 6: Final answer
    x = 420.54

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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.