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Finding the Fourth Proportional to 560.35, 840.54 and 235.74

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Solution

The fourth proportional to 560.35, 840.54 and 235.74 is: 353.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.35 : 840.54 = 235.74 : x
  2. Step 2: Convert to fraction form
    560.35/840.54 = 235.74/x
  3. Step 3: Cross multiply
    560.35x = 840.54 × 235.74
  4. Step 4: Simplify right side
    560.35x = 198,152.94
  5. Step 5: Solve for x
    x = 198,152.94/560.35
  6. Step 6: Final answer
    x = 353.62

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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.