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Finding the Fourth Proportional to 560.18, 840.70 and 388.05

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Solution

The fourth proportional to 560.18, 840.70 and 388.05 is: 582.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.18 : 840.70 = 388.05 : x
  2. Step 2: Convert to fraction form
    560.18/840.70 = 388.05/x
  3. Step 3: Cross multiply
    560.18x = 840.70 × 388.05
  4. Step 4: Simplify right side
    560.18x = 326,233.64
  5. Step 5: Solve for x
    x = 326,233.64/560.18
  6. Step 6: Final answer
    x = 582.38

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