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Finding the Fourth Proportional to 560, 772.06 and 460.05

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Solution

The fourth proportional to 560, 772.06 and 460.05 is: 634.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    560 : 772.06 = 460.05 : x
  2. Step 2: Convert to fraction form
    560/772.06 = 460.05/x
  3. Step 3: Cross multiply
    560x = 772.06 × 460.05
  4. Step 4: Simplify right side
    560x = 355,186.20
  5. Step 5: Solve for x
    x = 355,186.20/560
  6. Step 6: Final answer
    x = 634.26

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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.