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Finding the Fourth Proportional to 621.46, 856.91 and 509.07

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Solution

The fourth proportional to 621.46, 856.91 and 509.07 is: 701.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.46 : 856.91 = 509.07 : x
  2. Step 2: Convert to fraction form
    621.46/856.91 = 509.07/x
  3. Step 3: Cross multiply
    621.46x = 856.91 × 509.07
  4. Step 4: Simplify right side
    621.46x = 436,227.17
  5. Step 5: Solve for x
    x = 436,227.17/621.46
  6. Step 6: Final answer
    x = 701.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.