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Finding the Fourth Proportional to 560.42, 840.46 and 388.20

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Solution

The fourth proportional to 560.42, 840.46 and 388.20 is: 582.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.42 : 840.46 = 388.20 : x
  2. Step 2: Convert to fraction form
    560.42/840.46 = 388.20/x
  3. Step 3: Cross multiply
    560.42x = 840.46 × 388.20
  4. Step 4: Simplify right side
    560.42x = 326,266.57
  5. Step 5: Solve for x
    x = 326,266.57/560.42
  6. Step 6: Final answer
    x = 582.18

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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.