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Finding the Fourth Proportional to 517.94, 714.04 and 370.31

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Solution

The fourth proportional to 517.94, 714.04 and 370.31 is: 510.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.94 : 714.04 = 370.31 : x
  2. Step 2: Convert to fraction form
    517.94/714.04 = 370.31/x
  3. Step 3: Cross multiply
    517.94x = 714.04 × 370.31
  4. Step 4: Simplify right side
    517.94x = 264,417.01
  5. Step 5: Solve for x
    x = 264,417.01/517.94
  6. Step 6: Final answer
    x = 510.52

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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.