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Finding the Fourth Proportional to 560.68, 773.70 and 312.01

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Solution

The fourth proportional to 560.68, 773.70 and 312.01 is: 430.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.68 : 773.70 = 312.01 : x
  2. Step 2: Convert to fraction form
    560.68/773.70 = 312.01/x
  3. Step 3: Cross multiply
    560.68x = 773.70 × 312.01
  4. Step 4: Simplify right side
    560.68x = 241,402.14
  5. Step 5: Solve for x
    x = 241,402.14/560.68
  6. Step 6: Final answer
    x = 430.55

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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.