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Finding the Fourth Proportional to 530.60, 793.98 and 434.60

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Solution

The fourth proportional to 530.60, 793.98 and 434.60 is: 650.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.60 : 793.98 = 434.60 : x
  2. Step 2: Convert to fraction form
    530.60/793.98 = 434.60/x
  3. Step 3: Cross multiply
    530.60x = 793.98 × 434.60
  4. Step 4: Simplify right side
    530.60x = 345,063.71
  5. Step 5: Solve for x
    x = 345,063.71/530.60
  6. Step 6: Final answer
    x = 650.33

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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.