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Finding the Fourth Proportional to 430.86, 594.56 and 244.32

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Solution

The fourth proportional to 430.86, 594.56 and 244.32 is: 337.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.86 : 594.56 = 244.32 : x
  2. Step 2: Convert to fraction form
    430.86/594.56 = 244.32/x
  3. Step 3: Cross multiply
    430.86x = 594.56 × 244.32
  4. Step 4: Simplify right side
    430.86x = 145,262.90
  5. Step 5: Solve for x
    x = 145,262.90/430.86
  6. Step 6: Final answer
    x = 337.15

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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.