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Finding the Fourth Proportional to 534.54, 797.54 and 476.07

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Solution

The fourth proportional to 534.54, 797.54 and 476.07 is: 710.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.54 : 797.54 = 476.07 : x
  2. Step 2: Convert to fraction form
    534.54/797.54 = 476.07/x
  3. Step 3: Cross multiply
    534.54x = 797.54 × 476.07
  4. Step 4: Simplify right side
    534.54x = 379,682.49
  5. Step 5: Solve for x
    x = 379,682.49/534.54
  6. Step 6: Final answer
    x = 710.30

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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.