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Finding the Fourth Proportional to 402.59, 555.65 and 234.52

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Solution

The fourth proportional to 402.59, 555.65 and 234.52 is: 323.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.59 : 555.65 = 234.52 : x
  2. Step 2: Convert to fraction form
    402.59/555.65 = 234.52/x
  3. Step 3: Cross multiply
    402.59x = 555.65 × 234.52
  4. Step 4: Simplify right side
    402.59x = 130,307.09
  5. Step 5: Solve for x
    x = 130,307.09/402.59
  6. Step 6: Final answer
    x = 323.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.