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Finding the Fourth Proportional to 469.01, 705.04 and 378.90

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Solution

The fourth proportional to 469.01, 705.04 and 378.90 is: 569.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.01 : 705.04 = 378.90 : x
  2. Step 2: Convert to fraction form
    469.01/705.04 = 378.90/x
  3. Step 3: Cross multiply
    469.01x = 705.04 × 378.90
  4. Step 4: Simplify right side
    469.01x = 267,138.71
  5. Step 5: Solve for x
    x = 267,138.71/469.01
  6. Step 6: Final answer
    x = 569.58

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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.