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Finding the Fourth Proportional to 600.07, 900.18 and 292.07

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Solution

The fourth proportional to 600.07, 900.18 and 292.07 is: 438.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.07 : 900.18 = 292.07 : x
  2. Step 2: Convert to fraction form
    600.07/900.18 = 292.07/x
  3. Step 3: Cross multiply
    600.07x = 900.18 × 292.07
  4. Step 4: Simplify right side
    600.07x = 262,914.11
  5. Step 5: Solve for x
    x = 262,914.11/600.07
  6. Step 6: Final answer
    x = 438.14

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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.