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Finding the Fourth Proportional to 469.89, 705.33 and 384.23

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Solution

The fourth proportional to 469.89, 705.33 and 384.23 is: 576.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.89 : 705.33 = 384.23 : x
  2. Step 2: Convert to fraction form
    469.89/705.33 = 384.23/x
  3. Step 3: Cross multiply
    469.89x = 705.33 × 384.23
  4. Step 4: Simplify right side
    469.89x = 271,005.42
  5. Step 5: Solve for x
    x = 271,005.42/469.89
  6. Step 6: Final answer
    x = 576.74

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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.