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Finding the Fourth Proportional to 655.52, 904.64 and 406.86

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Solution

The fourth proportional to 655.52, 904.64 and 406.86 is: 561.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.52 : 904.64 = 406.86 : x
  2. Step 2: Convert to fraction form
    655.52/904.64 = 406.86/x
  3. Step 3: Cross multiply
    655.52x = 904.64 × 406.86
  4. Step 4: Simplify right side
    655.52x = 368,061.83
  5. Step 5: Solve for x
    x = 368,061.83/655.52
  6. Step 6: Final answer
    x = 561.48

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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.