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Finding the Fourth Proportional to 600.78, 900.98 and 312.06

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Solution

The fourth proportional to 600.78, 900.98 and 312.06 is: 467.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.78 : 900.98 = 312.06 : x
  2. Step 2: Convert to fraction form
    600.78/900.98 = 312.06/x
  3. Step 3: Cross multiply
    600.78x = 900.98 × 312.06
  4. Step 4: Simplify right side
    600.78x = 281,159.82
  5. Step 5: Solve for x
    x = 281,159.82/600.78
  6. Step 6: Final answer
    x = 467.99

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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.