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Finding the Fourth Proportional to 517.94, 714.75 and 285.06

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Solution

The fourth proportional to 517.94, 714.75 and 285.06 is: 393.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.94 : 714.75 = 285.06 : x
  2. Step 2: Convert to fraction form
    517.94/714.75 = 285.06/x
  3. Step 3: Cross multiply
    517.94x = 714.75 × 285.06
  4. Step 4: Simplify right side
    517.94x = 203,746.64
  5. Step 5: Solve for x
    x = 203,746.64/517.94
  6. Step 6: Final answer
    x = 393.38

Related Problems

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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.