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Finding the Fourth Proportional to 501.15, 691.25 and 304.41

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Solution

The fourth proportional to 501.15, 691.25 and 304.41 is: 419.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.15 : 691.25 = 304.41 : x
  2. Step 2: Convert to fraction form
    501.15/691.25 = 304.41/x
  3. Step 3: Cross multiply
    501.15x = 691.25 × 304.41
  4. Step 4: Simplify right side
    501.15x = 210,421.89
  5. Step 5: Solve for x
    x = 210,421.89/501.15
  6. Step 6: Final answer
    x = 419.88

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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.