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Finding the Fourth Proportional to 655.64, 904.19 and 406.87

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Solution

The fourth proportional to 655.64, 904.19 and 406.87 is: 561.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.64 : 904.19 = 406.87 : x
  2. Step 2: Convert to fraction form
    655.64/904.19 = 406.87/x
  3. Step 3: Cross multiply
    655.64x = 904.19 × 406.87
  4. Step 4: Simplify right side
    655.64x = 367,889.72
  5. Step 5: Solve for x
    x = 367,889.72/655.64
  6. Step 6: Final answer
    x = 561.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.