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Finding the Fourth Proportional to 600.32, 900.10 and 210.14

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Solution

The fourth proportional to 600.32, 900.10 and 210.14 is: 315.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.32 : 900.10 = 210.14 : x
  2. Step 2: Convert to fraction form
    600.32/900.10 = 210.14/x
  3. Step 3: Cross multiply
    600.32x = 900.10 × 210.14
  4. Step 4: Simplify right side
    600.32x = 189,147.01
  5. Step 5: Solve for x
    x = 189,147.01/600.32
  6. Step 6: Final answer
    x = 315.08

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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.