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Finding the Fourth Proportional to 534.08, 802.20 and 522.20

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Solution

The fourth proportional to 534.08, 802.20 and 522.20 is: 784.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.08 : 802.20 = 522.20 : x
  2. Step 2: Convert to fraction form
    534.08/802.20 = 522.20/x
  3. Step 3: Cross multiply
    534.08x = 802.20 × 522.20
  4. Step 4: Simplify right side
    534.08x = 418,908.84
  5. Step 5: Solve for x
    x = 418,908.84/534.08
  6. Step 6: Final answer
    x = 784.36

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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.