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Finding the Fourth Proportional to 520.86, 718.63 and 409.99

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Solution

The fourth proportional to 520.86, 718.63 and 409.99 is: 565.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.86 : 718.63 = 409.99 : x
  2. Step 2: Convert to fraction form
    520.86/718.63 = 409.99/x
  3. Step 3: Cross multiply
    520.86x = 718.63 × 409.99
  4. Step 4: Simplify right side
    520.86x = 294,630.50
  5. Step 5: Solve for x
    x = 294,630.50/520.86
  6. Step 6: Final answer
    x = 565.67

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