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Finding the Fourth Proportional to 423.48, 583.92 and 340.32

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Solution

The fourth proportional to 423.48, 583.92 and 340.32 is: 469.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.48 : 583.92 = 340.32 : x
  2. Step 2: Convert to fraction form
    423.48/583.92 = 340.32/x
  3. Step 3: Cross multiply
    423.48x = 583.92 × 340.32
  4. Step 4: Simplify right side
    423.48x = 198,719.65
  5. Step 5: Solve for x
    x = 198,719.65/423.48
  6. Step 6: Final answer
    x = 469.25

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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.