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Finding the Fourth Proportional to 430.92, 594.66 and 288.86

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Solution

The fourth proportional to 430.92, 594.66 and 288.86 is: 398.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.92 : 594.66 = 288.86 : x
  2. Step 2: Convert to fraction form
    430.92/594.66 = 288.86/x
  3. Step 3: Cross multiply
    430.92x = 594.66 × 288.86
  4. Step 4: Simplify right side
    430.92x = 171,772.04
  5. Step 5: Solve for x
    x = 171,772.04/430.92
  6. Step 6: Final answer
    x = 398.62

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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.