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Finding the Fourth Proportional to 423.86, 585.01 and 268.50

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Solution

The fourth proportional to 423.86, 585.01 and 268.50 is: 370.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.86 : 585.01 = 268.50 : x
  2. Step 2: Convert to fraction form
    423.86/585.01 = 268.50/x
  3. Step 3: Cross multiply
    423.86x = 585.01 × 268.50
  4. Step 4: Simplify right side
    423.86x = 157,075.19
  5. Step 5: Solve for x
    x = 157,075.19/423.86
  6. Step 6: Final answer
    x = 370.58

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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.