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Finding the Fourth Proportional to 470.40, 649.36 and 346.08

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Solution

The fourth proportional to 470.40, 649.36 and 346.08 is: 477.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.40 : 649.36 = 346.08 : x
  2. Step 2: Convert to fraction form
    470.40/649.36 = 346.08/x
  3. Step 3: Cross multiply
    470.40x = 649.36 × 346.08
  4. Step 4: Simplify right side
    470.40x = 224,730.51
  5. Step 5: Solve for x
    x = 224,730.51/470.40
  6. Step 6: Final answer
    x = 477.74

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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.