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Finding the Fourth Proportional to 655.68, 904.83 and 360.96

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Solution

The fourth proportional to 655.68, 904.83 and 360.96 is: 498.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.68 : 904.83 = 360.96 : x
  2. Step 2: Convert to fraction form
    655.68/904.83 = 360.96/x
  3. Step 3: Cross multiply
    655.68x = 904.83 × 360.96
  4. Step 4: Simplify right side
    655.68x = 326,608.34
  5. Step 5: Solve for x
    x = 326,608.34/655.68
  6. Step 6: Final answer
    x = 498.13

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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.