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Finding the Fourth Proportional to 484.74, 669.24 and 419.10

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Solution

The fourth proportional to 484.74, 669.24 and 419.10 is: 578.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.74 : 669.24 = 419.10 : x
  2. Step 2: Convert to fraction form
    484.74/669.24 = 419.10/x
  3. Step 3: Cross multiply
    484.74x = 669.24 × 419.10
  4. Step 4: Simplify right side
    484.74x = 280,478.48
  5. Step 5: Solve for x
    x = 280,478.48/484.74
  6. Step 6: Final answer
    x = 578.62

Related Problems

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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.