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Finding the Fourth Proportional to 438.14, 600.71 and 430.34

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Solution

The fourth proportional to 438.14, 600.71 and 430.34 is: 590.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.14 : 600.71 = 430.34 : x
  2. Step 2: Convert to fraction form
    438.14/600.71 = 430.34/x
  3. Step 3: Cross multiply
    438.14x = 600.71 × 430.34
  4. Step 4: Simplify right side
    438.14x = 258,509.54
  5. Step 5: Solve for x
    x = 258,509.54/438.14
  6. Step 6: Final answer
    x = 590.02

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.