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Finding the Fourth Proportional to 423.07, 583.80 and 234.01

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Solution

The fourth proportional to 423.07, 583.80 and 234.01 is: 322.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.07 : 583.80 = 234.01 : x
  2. Step 2: Convert to fraction form
    423.07/583.80 = 234.01/x
  3. Step 3: Cross multiply
    423.07x = 583.80 × 234.01
  4. Step 4: Simplify right side
    423.07x = 136,612.12
  5. Step 5: Solve for x
    x = 136,612.12/423.07
  6. Step 6: Final answer
    x = 322.91

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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.