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Finding the Fourth Proportional to 525.65, 725.71 and 339.42

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Solution

The fourth proportional to 525.65, 725.71 and 339.42 is: 468.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.65 : 725.71 = 339.42 : x
  2. Step 2: Convert to fraction form
    525.65/725.71 = 339.42/x
  3. Step 3: Cross multiply
    525.65x = 725.71 × 339.42
  4. Step 4: Simplify right side
    525.65x = 246,320.49
  5. Step 5: Solve for x
    x = 246,320.49/525.65
  6. Step 6: Final answer
    x = 468.60

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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.