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Finding the Fourth Proportional to 475.02, 711.99 and 313.02

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Solution

The fourth proportional to 475.02, 711.99 and 313.02 is: 469.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.02 : 711.99 = 313.02 : x
  2. Step 2: Convert to fraction form
    475.02/711.99 = 313.02/x
  3. Step 3: Cross multiply
    475.02x = 711.99 × 313.02
  4. Step 4: Simplify right side
    475.02x = 222,867.11
  5. Step 5: Solve for x
    x = 222,867.11/475.02
  6. Step 6: Final answer
    x = 469.17

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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.