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Finding the Fourth Proportional to 430.23, 593.74 and 414.74

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Solution

The fourth proportional to 430.23, 593.74 and 414.74 is: 572.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.23 : 593.74 = 414.74 : x
  2. Step 2: Convert to fraction form
    430.23/593.74 = 414.74/x
  3. Step 3: Cross multiply
    430.23x = 593.74 × 414.74
  4. Step 4: Simplify right side
    430.23x = 246,244.76
  5. Step 5: Solve for x
    x = 246,244.76/430.23
  6. Step 6: Final answer
    x = 572.36

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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.