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Finding the Fourth Proportional to 430.52, 593.54 and 325.74

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Solution

The fourth proportional to 430.52, 593.54 and 325.74 is: 449.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.52 : 593.54 = 325.74 : x
  2. Step 2: Convert to fraction form
    430.52/593.54 = 325.74/x
  3. Step 3: Cross multiply
    430.52x = 593.54 × 325.74
  4. Step 4: Simplify right side
    430.52x = 193,339.72
  5. Step 5: Solve for x
    x = 193,339.72/430.52
  6. Step 6: Final answer
    x = 449.08

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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.