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Finding the Fourth Proportional to 655.50, 904.56 and 360.78

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Solution

The fourth proportional to 655.50, 904.56 and 360.78 is: 497.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.50 : 904.56 = 360.78 : x
  2. Step 2: Convert to fraction form
    655.50/904.56 = 360.78/x
  3. Step 3: Cross multiply
    655.50x = 904.56 × 360.78
  4. Step 4: Simplify right side
    655.50x = 326,347.16
  5. Step 5: Solve for x
    x = 326,347.16/655.50
  6. Step 6: Final answer
    x = 497.86

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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.