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Finding the Fourth Proportional to 423.83, 585.83 and 384.68

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Solution

The fourth proportional to 423.83, 585.83 and 384.68 is: 531.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.83 : 585.83 = 384.68 : x
  2. Step 2: Convert to fraction form
    423.83/585.83 = 384.68/x
  3. Step 3: Cross multiply
    423.83x = 585.83 × 384.68
  4. Step 4: Simplify right side
    423.83x = 225,359.51
  5. Step 5: Solve for x
    x = 225,359.51/423.83
  6. Step 6: Final answer
    x = 531.72

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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.