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Finding the Fourth Proportional to 534.72, 801.34 and 260.29

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Solution

The fourth proportional to 534.72, 801.34 and 260.29 is: 390.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.72 : 801.34 = 260.29 : x
  2. Step 2: Convert to fraction form
    534.72/801.34 = 260.29/x
  3. Step 3: Cross multiply
    534.72x = 801.34 × 260.29
  4. Step 4: Simplify right side
    534.72x = 208,580.79
  5. Step 5: Solve for x
    x = 208,580.79/534.72
  6. Step 6: Final answer
    x = 390.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.