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Finding the Fourth Proportional to 531.04, 795.36 and 338.08

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Solution

The fourth proportional to 531.04, 795.36 and 338.08 is: 506.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.04 : 795.36 = 338.08 : x
  2. Step 2: Convert to fraction form
    531.04/795.36 = 338.08/x
  3. Step 3: Cross multiply
    531.04x = 795.36 × 338.08
  4. Step 4: Simplify right side
    531.04x = 268,895.31
  5. Step 5: Solve for x
    x = 268,895.31/531.04
  6. Step 6: Final answer
    x = 506.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.