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Finding the Fourth Proportional to 423.34, 583.68 and 414.16

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Solution

The fourth proportional to 423.34, 583.68 and 414.16 is: 571.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.34 : 583.68 = 414.16 : x
  2. Step 2: Convert to fraction form
    423.34/583.68 = 414.16/x
  3. Step 3: Cross multiply
    423.34x = 583.68 × 414.16
  4. Step 4: Simplify right side
    423.34x = 241,736.91
  5. Step 5: Solve for x
    x = 241,736.91/423.34
  6. Step 6: Final answer
    x = 571.02

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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.