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Finding the Fourth Proportional to 622.01, 931.82 and 313.11

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Solution

The fourth proportional to 622.01, 931.82 and 313.11 is: 469.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.01 : 931.82 = 313.11 : x
  2. Step 2: Convert to fraction form
    622.01/931.82 = 313.11/x
  3. Step 3: Cross multiply
    622.01x = 931.82 × 313.11
  4. Step 4: Simplify right side
    622.01x = 291,762.16
  5. Step 5: Solve for x
    x = 291,762.16/622.01
  6. Step 6: Final answer
    x = 469.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.