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Finding the Fourth Proportional to 560.58, 835.14 and 534.48

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Solution

The fourth proportional to 560.58, 835.14 and 534.48 is: 796.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.58 : 835.14 = 534.48 : x
  2. Step 2: Convert to fraction form
    560.58/835.14 = 534.48/x
  3. Step 3: Cross multiply
    560.58x = 835.14 × 534.48
  4. Step 4: Simplify right side
    560.58x = 446,365.63
  5. Step 5: Solve for x
    x = 446,365.63/560.58
  6. Step 6: Final answer
    x = 796.26

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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.