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Finding the Fourth Proportional to 518.42, 715.45 and 322.00

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Solution

The fourth proportional to 518.42, 715.45 and 322.00 is: 444.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.42 : 715.45 = 322.00 : x
  2. Step 2: Convert to fraction form
    518.42/715.45 = 322.00/x
  3. Step 3: Cross multiply
    518.42x = 715.45 × 322.00
  4. Step 4: Simplify right side
    518.42x = 230,369.71
  5. Step 5: Solve for x
    x = 230,369.71/518.42
  6. Step 6: Final answer
    x = 444.37

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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.