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Finding the Fourth Proportional to 621.48, 931.66 and 468.06

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Solution

The fourth proportional to 621.48, 931.66 and 468.06 is: 701.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.48 : 931.66 = 468.06 : x
  2. Step 2: Convert to fraction form
    621.48/931.66 = 468.06/x
  3. Step 3: Cross multiply
    621.48x = 931.66 × 468.06
  4. Step 4: Simplify right side
    621.48x = 436,072.78
  5. Step 5: Solve for x
    x = 436,072.78/621.48
  6. Step 6: Final answer
    x = 701.67

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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.