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Finding the Fourth Proportional to 655.16, 903.65 and 418.91

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Solution

The fourth proportional to 655.16, 903.65 and 418.91 is: 577.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.16 : 903.65 = 418.91 : x
  2. Step 2: Convert to fraction form
    655.16/903.65 = 418.91/x
  3. Step 3: Cross multiply
    655.16x = 903.65 × 418.91
  4. Step 4: Simplify right side
    655.16x = 378,541.41
  5. Step 5: Solve for x
    x = 378,541.41/655.16
  6. Step 6: Final answer
    x = 577.79

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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.