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Finding the Fourth Proportional to 655.72, 904.89 and 360.99

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Solution

The fourth proportional to 655.72, 904.89 and 360.99 is: 498.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.72 : 904.89 = 360.99 : x
  2. Step 2: Convert to fraction form
    655.72/904.89 = 360.99/x
  3. Step 3: Cross multiply
    655.72x = 904.89 × 360.99
  4. Step 4: Simplify right side
    655.72x = 326,654.54
  5. Step 5: Solve for x
    x = 326,654.54/655.72
  6. Step 6: Final answer
    x = 498.16

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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.