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Finding the Fourth Proportional to 507.75, 701.16 and 408.18

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Solution

The fourth proportional to 507.75, 701.16 and 408.18 is: 563.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.75 : 701.16 = 408.18 : x
  2. Step 2: Convert to fraction form
    507.75/701.16 = 408.18/x
  3. Step 3: Cross multiply
    507.75x = 701.16 × 408.18
  4. Step 4: Simplify right side
    507.75x = 286,203.32
  5. Step 5: Solve for x
    x = 286,203.32/507.75
  6. Step 6: Final answer
    x = 563.67

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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.