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Finding the Fourth Proportional to 518.01, 713.59 and 435.12

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Solution

The fourth proportional to 518.01, 713.59 and 435.12 is: 599.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.01 : 713.59 = 435.12 : x
  2. Step 2: Convert to fraction form
    518.01/713.59 = 435.12/x
  3. Step 3: Cross multiply
    518.01x = 713.59 × 435.12
  4. Step 4: Simplify right side
    518.01x = 310,497.28
  5. Step 5: Solve for x
    x = 310,497.28/518.01
  6. Step 6: Final answer
    x = 599.40

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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.