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Finding the Fourth Proportional to 525.06, 723.04 and 469.78

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Solution

The fourth proportional to 525.06, 723.04 and 469.78 is: 646.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.06 : 723.04 = 469.78 : x
  2. Step 2: Convert to fraction form
    525.06/723.04 = 469.78/x
  3. Step 3: Cross multiply
    525.06x = 723.04 × 469.78
  4. Step 4: Simplify right side
    525.06x = 339,669.73
  5. Step 5: Solve for x
    x = 339,669.73/525.06
  6. Step 6: Final answer
    x = 646.92

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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.