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Finding the Fourth Proportional to 560.32, 840.57 and 195.01

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Solution

The fourth proportional to 560.32, 840.57 and 195.01 is: 292.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.32 : 840.57 = 195.01 : x
  2. Step 2: Convert to fraction form
    560.32/840.57 = 195.01/x
  3. Step 3: Cross multiply
    560.32x = 840.57 × 195.01
  4. Step 4: Simplify right side
    560.32x = 163,915.15
  5. Step 5: Solve for x
    x = 163,915.15/560.32
  6. Step 6: Final answer
    x = 292.54

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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.