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Finding the Fourth Proportional to 423.25, 583.61 and 364.16

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Solution

The fourth proportional to 423.25, 583.61 and 364.16 is: 502.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.25 : 583.61 = 364.16 : x
  2. Step 2: Convert to fraction form
    423.25/583.61 = 364.16/x
  3. Step 3: Cross multiply
    423.25x = 583.61 × 364.16
  4. Step 4: Simplify right side
    423.25x = 212,527.06
  5. Step 5: Solve for x
    x = 212,527.06/423.25
  6. Step 6: Final answer
    x = 502.13

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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.