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Finding the Fourth Proportional to 514.58, 770.94 and 392.46

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Solution

The fourth proportional to 514.58, 770.94 and 392.46 is: 587.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.58 : 770.94 = 392.46 : x
  2. Step 2: Convert to fraction form
    514.58/770.94 = 392.46/x
  3. Step 3: Cross multiply
    514.58x = 770.94 × 392.46
  4. Step 4: Simplify right side
    514.58x = 302,563.11
  5. Step 5: Solve for x
    x = 302,563.11/514.58
  6. Step 6: Final answer
    x = 587.99

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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.