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Finding the Fourth Proportional to 505.99, 698.40 and 358.66

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Solution

The fourth proportional to 505.99, 698.40 and 358.66 is: 495.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.99 : 698.40 = 358.66 : x
  2. Step 2: Convert to fraction form
    505.99/698.40 = 358.66/x
  3. Step 3: Cross multiply
    505.99x = 698.40 × 358.66
  4. Step 4: Simplify right side
    505.99x = 250,488.14
  5. Step 5: Solve for x
    x = 250,488.14/505.99
  6. Step 6: Final answer
    x = 495.05

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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.