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Finding the Fourth Proportional to 655.22, 904.20 and 360.48

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Solution

The fourth proportional to 655.22, 904.20 and 360.48 is: 497.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.22 : 904.20 = 360.48 : x
  2. Step 2: Convert to fraction form
    655.22/904.20 = 360.48/x
  3. Step 3: Cross multiply
    655.22x = 904.20 × 360.48
  4. Step 4: Simplify right side
    655.22x = 325,946.02
  5. Step 5: Solve for x
    x = 325,946.02/655.22
  6. Step 6: Final answer
    x = 497.46

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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.