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Finding the Fourth Proportional to 525.42, 725.13 and 304.29

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Solution

The fourth proportional to 525.42, 725.13 and 304.29 is: 419.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.42 : 725.13 = 304.29 : x
  2. Step 2: Convert to fraction form
    525.42/725.13 = 304.29/x
  3. Step 3: Cross multiply
    525.42x = 725.13 × 304.29
  4. Step 4: Simplify right side
    525.42x = 220,649.81
  5. Step 5: Solve for x
    x = 220,649.81/525.42
  6. Step 6: Final answer
    x = 419.95

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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.