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Finding the Fourth Proportional to 505.48, 698.02 and 406.92

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Solution

The fourth proportional to 505.48, 698.02 and 406.92 is: 561.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.48 : 698.02 = 406.92 : x
  2. Step 2: Convert to fraction form
    505.48/698.02 = 406.92/x
  3. Step 3: Cross multiply
    505.48x = 698.02 × 406.92
  4. Step 4: Simplify right side
    505.48x = 284,038.30
  5. Step 5: Solve for x
    x = 284,038.30/505.48
  6. Step 6: Final answer
    x = 561.92

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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.