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Finding the Fourth Proportional to 655.53, 904.67 and 360.78

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Solution

The fourth proportional to 655.53, 904.67 and 360.78 is: 497.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.53 : 904.67 = 360.78 : x
  2. Step 2: Convert to fraction form
    655.53/904.67 = 360.78/x
  3. Step 3: Cross multiply
    655.53x = 904.67 × 360.78
  4. Step 4: Simplify right side
    655.53x = 326,385.04
  5. Step 5: Solve for x
    x = 326,385.04/655.53
  6. Step 6: Final answer
    x = 497.89

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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.