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Finding the Fourth Proportional to 560.49, 773.01 and 435.93

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Solution

The fourth proportional to 560.49, 773.01 and 435.93 is: 601.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.49 : 773.01 = 435.93 : x
  2. Step 2: Convert to fraction form
    560.49/773.01 = 435.93/x
  3. Step 3: Cross multiply
    560.49x = 773.01 × 435.93
  4. Step 4: Simplify right side
    560.49x = 336,978.25
  5. Step 5: Solve for x
    x = 336,978.25/560.49
  6. Step 6: Final answer
    x = 601.22

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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.