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Finding the Fourth Proportional to 450.42, 675.74 and 405.06

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Solution

The fourth proportional to 450.42, 675.74 and 405.06 is: 607.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.42 : 675.74 = 405.06 : x
  2. Step 2: Convert to fraction form
    450.42/675.74 = 405.06/x
  3. Step 3: Cross multiply
    450.42x = 675.74 × 405.06
  4. Step 4: Simplify right side
    450.42x = 273,715.24
  5. Step 5: Solve for x
    x = 273,715.24/450.42
  6. Step 6: Final answer
    x = 607.69

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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.