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Finding the Fourth Proportional to 430.77, 593.16 and 290.83

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Solution

The fourth proportional to 430.77, 593.16 and 290.83 is: 400.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.77 : 593.16 = 290.83 : x
  2. Step 2: Convert to fraction form
    430.77/593.16 = 290.83/x
  3. Step 3: Cross multiply
    430.77x = 593.16 × 290.83
  4. Step 4: Simplify right side
    430.77x = 172,508.72
  5. Step 5: Solve for x
    x = 172,508.72/430.77
  6. Step 6: Final answer
    x = 400.47

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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.