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Finding the Fourth Proportional to 505.79, 698.13 and 296.01

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Solution

The fourth proportional to 505.79, 698.13 and 296.01 is: 408.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.79 : 698.13 = 296.01 : x
  2. Step 2: Convert to fraction form
    505.79/698.13 = 296.01/x
  3. Step 3: Cross multiply
    505.79x = 698.13 × 296.01
  4. Step 4: Simplify right side
    505.79x = 206,653.46
  5. Step 5: Solve for x
    x = 206,653.46/505.79
  6. Step 6: Final answer
    x = 408.58

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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.