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Finding the Fourth Proportional to 430.25, 593.19 and 290.14

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Solution

The fourth proportional to 430.25, 593.19 and 290.14 is: 400.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.25 : 593.19 = 290.14 : x
  2. Step 2: Convert to fraction form
    430.25/593.19 = 290.14/x
  3. Step 3: Cross multiply
    430.25x = 593.19 × 290.14
  4. Step 4: Simplify right side
    430.25x = 172,108.15
  5. Step 5: Solve for x
    x = 172,108.15/430.25
  6. Step 6: Final answer
    x = 400.02

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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.