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Finding the Fourth Proportional to 430.52, 594.14 and 234.02

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Solution

The fourth proportional to 430.52, 594.14 and 234.02 is: 322.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.52 : 594.14 = 234.02 : x
  2. Step 2: Convert to fraction form
    430.52/594.14 = 234.02/x
  3. Step 3: Cross multiply
    430.52x = 594.14 × 234.02
  4. Step 4: Simplify right side
    430.52x = 139,040.96
  5. Step 5: Solve for x
    x = 139,040.96/430.52
  6. Step 6: Final answer
    x = 322.96

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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.