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Finding the Fourth Proportional to 491.78, 678.56 and 469.64

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Solution

The fourth proportional to 491.78, 678.56 and 469.64 is: 648.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.78 : 678.56 = 469.64 : x
  2. Step 2: Convert to fraction form
    491.78/678.56 = 469.64/x
  3. Step 3: Cross multiply
    491.78x = 678.56 × 469.64
  4. Step 4: Simplify right side
    491.78x = 318,678.92
  5. Step 5: Solve for x
    x = 318,678.92/491.78
  6. Step 6: Final answer
    x = 648.01

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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.