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Finding the Fourth Proportional to 431.84, 596.54 and 385.19

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Solution

The fourth proportional to 431.84, 596.54 and 385.19 is: 532.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.84 : 596.54 = 385.19 : x
  2. Step 2: Convert to fraction form
    431.84/596.54 = 385.19/x
  3. Step 3: Cross multiply
    431.84x = 596.54 × 385.19
  4. Step 4: Simplify right side
    431.84x = 229,780.81
  5. Step 5: Solve for x
    x = 229,780.81/431.84
  6. Step 6: Final answer
    x = 532.10

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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.