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Finding the Fourth Proportional to 534.48, 797.48 and 522.16

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Solution

The fourth proportional to 534.48, 797.48 and 522.16 is: 779.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.48 : 797.48 = 522.16 : x
  2. Step 2: Convert to fraction form
    534.48/797.48 = 522.16/x
  3. Step 3: Cross multiply
    534.48x = 797.48 × 522.16
  4. Step 4: Simplify right side
    534.48x = 416,412.16
  5. Step 5: Solve for x
    x = 416,412.16/534.48
  6. Step 6: Final answer
    x = 779.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.