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Finding the Fourth Proportional to 560.10, 840.16 and 235.70

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Solution

The fourth proportional to 560.10, 840.16 and 235.70 is: 353.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.10 : 840.16 = 235.70 : x
  2. Step 2: Convert to fraction form
    560.10/840.16 = 235.70/x
  3. Step 3: Cross multiply
    560.10x = 840.16 × 235.70
  4. Step 4: Simplify right side
    560.10x = 198,024.96
  5. Step 5: Solve for x
    x = 198,024.96/560.10
  6. Step 6: Final answer
    x = 353.55

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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.