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Finding the Fourth Proportional to 478.65, 659.93 and 412.12

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Solution

The fourth proportional to 478.65, 659.93 and 412.12 is: 568.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.65 : 659.93 = 412.12 : x
  2. Step 2: Convert to fraction form
    478.65/659.93 = 412.12/x
  3. Step 3: Cross multiply
    478.65x = 659.93 × 412.12
  4. Step 4: Simplify right side
    478.65x = 271,966.64
  5. Step 5: Solve for x
    x = 271,966.64/478.65
  6. Step 6: Final answer
    x = 568.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.