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Finding the Fourth Proportional to 405.27, 607.59 and 266.76

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Solution

The fourth proportional to 405.27, 607.59 and 266.76 is: 399.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.27 : 607.59 = 266.76 : x
  2. Step 2: Convert to fraction form
    405.27/607.59 = 266.76/x
  3. Step 3: Cross multiply
    405.27x = 607.59 × 266.76
  4. Step 4: Simplify right side
    405.27x = 162,080.71
  5. Step 5: Solve for x
    x = 162,080.71/405.27
  6. Step 6: Final answer
    x = 399.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.