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Finding the Fourth Proportional to 505.92, 697.71 and 358.50

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Solution

The fourth proportional to 505.92, 697.71 and 358.50 is: 494.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.92 : 697.71 = 358.50 : x
  2. Step 2: Convert to fraction form
    505.92/697.71 = 358.50/x
  3. Step 3: Cross multiply
    505.92x = 697.71 × 358.50
  4. Step 4: Simplify right side
    505.92x = 250,129.04
  5. Step 5: Solve for x
    x = 250,129.04/505.92
  6. Step 6: Final answer
    x = 494.40

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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.