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Finding the Fourth Proportional to 560.16, 838.80 and 343.08

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Solution

The fourth proportional to 560.16, 838.80 and 343.08 is: 513.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.16 : 838.80 = 343.08 : x
  2. Step 2: Convert to fraction form
    560.16/838.80 = 343.08/x
  3. Step 3: Cross multiply
    560.16x = 838.80 × 343.08
  4. Step 4: Simplify right side
    560.16x = 287,775.50
  5. Step 5: Solve for x
    x = 287,775.50/560.16
  6. Step 6: Final answer
    x = 513.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.