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Finding the Fourth Proportional to 430.59, 593.80 and 262.56

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Solution

The fourth proportional to 430.59, 593.80 and 262.56 is: 362.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.59 : 593.80 = 262.56 : x
  2. Step 2: Convert to fraction form
    430.59/593.80 = 262.56/x
  3. Step 3: Cross multiply
    430.59x = 593.80 × 262.56
  4. Step 4: Simplify right side
    430.59x = 155,909.70
  5. Step 5: Solve for x
    x = 155,909.70/430.59
  6. Step 6: Final answer
    x = 362.08

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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.