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Finding the Fourth Proportional to 655.24, 904.64 and 406.82

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Solution

The fourth proportional to 655.24, 904.64 and 406.82 is: 561.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.24 : 904.64 = 406.82 : x
  2. Step 2: Convert to fraction form
    655.24/904.64 = 406.82/x
  3. Step 3: Cross multiply
    655.24x = 904.64 × 406.82
  4. Step 4: Simplify right side
    655.24x = 368,025.64
  5. Step 5: Solve for x
    x = 368,025.64/655.24
  6. Step 6: Final answer
    x = 561.67

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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.