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Finding the Fourth Proportional to 560.76, 773.86 and 312.10

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Solution

The fourth proportional to 560.76, 773.86 and 312.10 is: 430.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.76 : 773.86 = 312.10 : x
  2. Step 2: Convert to fraction form
    560.76/773.86 = 312.10/x
  3. Step 3: Cross multiply
    560.76x = 773.86 × 312.10
  4. Step 4: Simplify right side
    560.76x = 241,521.71
  5. Step 5: Solve for x
    x = 241,521.71/560.76
  6. Step 6: Final answer
    x = 430.70

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