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Finding the Fourth Proportional to 430.80, 594.73 and 291.65

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Solution

The fourth proportional to 430.80, 594.73 and 291.65 is: 402.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.80 : 594.73 = 291.65 : x
  2. Step 2: Convert to fraction form
    430.80/594.73 = 291.65/x
  3. Step 3: Cross multiply
    430.80x = 594.73 × 291.65
  4. Step 4: Simplify right side
    430.80x = 173,452.10
  5. Step 5: Solve for x
    x = 173,452.10/430.80
  6. Step 6: Final answer
    x = 402.63

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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.