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Finding the Fourth Proportional to 525.42, 725.21 and 315.72

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Solution

The fourth proportional to 525.42, 725.21 and 315.72 is: 435.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.42 : 725.21 = 315.72 : x
  2. Step 2: Convert to fraction form
    525.42/725.21 = 315.72/x
  3. Step 3: Cross multiply
    525.42x = 725.21 × 315.72
  4. Step 4: Simplify right side
    525.42x = 228,963.30
  5. Step 5: Solve for x
    x = 228,963.30/525.42
  6. Step 6: Final answer
    x = 435.77

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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.