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Finding the Fourth Proportional to 534.96, 802.80 and 398.16

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Solution

The fourth proportional to 534.96, 802.80 and 398.16 is: 597.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.96 : 802.80 = 398.16 : x
  2. Step 2: Convert to fraction form
    534.96/802.80 = 398.16/x
  3. Step 3: Cross multiply
    534.96x = 802.80 × 398.16
  4. Step 4: Simplify right side
    534.96x = 319,642.85
  5. Step 5: Solve for x
    x = 319,642.85/534.96
  6. Step 6: Final answer
    x = 597.51

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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.