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Finding the Fourth Proportional to 412.32, 617.84 and 260

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Solution

The fourth proportional to 412.32, 617.84 and 260 is: 389.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.32 : 617.84 = 260 : x
  2. Step 2: Convert to fraction form
    412.32/617.84 = 260/x
  3. Step 3: Cross multiply
    412.32x = 617.84 × 260
  4. Step 4: Simplify right side
    412.32x = 160,638.40
  5. Step 5: Solve for x
    x = 160,638.40/412.32
  6. Step 6: Final answer
    x = 389.60

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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.