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Finding the Fourth Proportional to 655.47, 904.48 and 360.74

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Solution

The fourth proportional to 655.47, 904.48 and 360.74 is: 497.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.47 : 904.48 = 360.74 : x
  2. Step 2: Convert to fraction form
    655.47/904.48 = 360.74/x
  3. Step 3: Cross multiply
    655.47x = 904.48 × 360.74
  4. Step 4: Simplify right side
    655.47x = 326,276.69
  5. Step 5: Solve for x
    x = 326,276.69/655.47
  6. Step 6: Final answer
    x = 497.78

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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.