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Finding the Fourth Proportional to 520.32, 777.14 and 417.81

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Solution

The fourth proportional to 520.32, 777.14 and 417.81 is: 624.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.32 : 777.14 = 417.81 : x
  2. Step 2: Convert to fraction form
    520.32/777.14 = 417.81/x
  3. Step 3: Cross multiply
    520.32x = 777.14 × 417.81
  4. Step 4: Simplify right side
    520.32x = 324,697.23
  5. Step 5: Solve for x
    x = 324,697.23/520.32
  6. Step 6: Final answer
    x = 624.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.