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Finding the Fourth Proportional to 525.24, 723.15 and 497.88

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Solution

The fourth proportional to 525.24, 723.15 and 497.88 is: 685.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.24 : 723.15 = 497.88 : x
  2. Step 2: Convert to fraction form
    525.24/723.15 = 497.88/x
  3. Step 3: Cross multiply
    525.24x = 723.15 × 497.88
  4. Step 4: Simplify right side
    525.24x = 360,041.92
  5. Step 5: Solve for x
    x = 360,041.92/525.24
  6. Step 6: Final answer
    x = 685.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.