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Finding the Fourth Proportional to 534.65, 802.24 and 260.74

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Solution

The fourth proportional to 534.65, 802.24 and 260.74 is: 391.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.65 : 802.24 = 260.74 : x
  2. Step 2: Convert to fraction form
    534.65/802.24 = 260.74/x
  3. Step 3: Cross multiply
    534.65x = 802.24 × 260.74
  4. Step 4: Simplify right side
    534.65x = 209,173.40
  5. Step 5: Solve for x
    x = 209,173.40/534.65
  6. Step 6: Final answer
    x = 391.23

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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.