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Finding the Fourth Proportional to 430.23, 593.72 and 233.74

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Solution

The fourth proportional to 430.23, 593.72 and 233.74 is: 322.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.23 : 593.72 = 233.74 : x
  2. Step 2: Convert to fraction form
    430.23/593.72 = 233.74/x
  3. Step 3: Cross multiply
    430.23x = 593.72 × 233.74
  4. Step 4: Simplify right side
    430.23x = 138,776.11
  5. Step 5: Solve for x
    x = 138,776.11/430.23
  6. Step 6: Final answer
    x = 322.56

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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.