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Finding the Fourth Proportional to 520.02, 718.07 and 433.15

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Solution

The fourth proportional to 520.02, 718.07 and 433.15 is: 598.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.02 : 718.07 = 433.15 : x
  2. Step 2: Convert to fraction form
    520.02/718.07 = 433.15/x
  3. Step 3: Cross multiply
    520.02x = 718.07 × 433.15
  4. Step 4: Simplify right side
    520.02x = 311,028.06
  5. Step 5: Solve for x
    x = 311,028.06/520.02
  6. Step 6: Final answer
    x = 598.11

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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.