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Finding the Fourth Proportional to 505.92, 697.72 and 358.48

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Solution

The fourth proportional to 505.92, 697.72 and 358.48 is: 494.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.92 : 697.72 = 358.48 : x
  2. Step 2: Convert to fraction form
    505.92/697.72 = 358.48/x
  3. Step 3: Cross multiply
    505.92x = 697.72 × 358.48
  4. Step 4: Simplify right side
    505.92x = 250,118.67
  5. Step 5: Solve for x
    x = 250,118.67/505.92
  6. Step 6: Final answer
    x = 494.38

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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.