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Finding the Fourth Proportional to 560.74, 840.36 and 316.90

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Solution

The fourth proportional to 560.74, 840.36 and 316.90 is: 474.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.74 : 840.36 = 316.90 : x
  2. Step 2: Convert to fraction form
    560.74/840.36 = 316.90/x
  3. Step 3: Cross multiply
    560.74x = 840.36 × 316.90
  4. Step 4: Simplify right side
    560.74x = 266,310.08
  5. Step 5: Solve for x
    x = 266,310.08/560.74
  6. Step 6: Final answer
    x = 474.93

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Why These Related Problems?

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