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Finding the Fourth Proportional to 560.34, 840.51 and 213.77

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Solution

The fourth proportional to 560.34, 840.51 and 213.77 is: 320.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.34 : 840.51 = 213.77 : x
  2. Step 2: Convert to fraction form
    560.34/840.51 = 213.77/x
  3. Step 3: Cross multiply
    560.34x = 840.51 × 213.77
  4. Step 4: Simplify right side
    560.34x = 179,671.62
  5. Step 5: Solve for x
    x = 179,671.62/560.34
  6. Step 6: Final answer
    x = 320.65

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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.