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Finding the Fourth Proportional to 578.34, 798.93 and 430.65

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Solution

The fourth proportional to 578.34, 798.93 and 430.65 is: 594.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.34 : 798.93 = 430.65 : x
  2. Step 2: Convert to fraction form
    578.34/798.93 = 430.65/x
  3. Step 3: Cross multiply
    578.34x = 798.93 × 430.65
  4. Step 4: Simplify right side
    578.34x = 344,059.20
  5. Step 5: Solve for x
    x = 344,059.20/578.34
  6. Step 6: Final answer
    x = 594.91

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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.