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Finding the Fourth Proportional to 560.24, 772.80 and 339.08

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Solution

The fourth proportional to 560.24, 772.80 and 339.08 is: 467.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.24 : 772.80 = 339.08 : x
  2. Step 2: Convert to fraction form
    560.24/772.80 = 339.08/x
  3. Step 3: Cross multiply
    560.24x = 772.80 × 339.08
  4. Step 4: Simplify right side
    560.24x = 262,041.02
  5. Step 5: Solve for x
    x = 262,041.02/560.24
  6. Step 6: Final answer
    x = 467.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.