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Finding the Fourth Proportional to 468.18, 703.08 and 390.42

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Solution

The fourth proportional to 468.18, 703.08 and 390.42 is: 586.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.18 : 703.08 = 390.42 : x
  2. Step 2: Convert to fraction form
    468.18/703.08 = 390.42/x
  3. Step 3: Cross multiply
    468.18x = 703.08 × 390.42
  4. Step 4: Simplify right side
    468.18x = 274,496.49
  5. Step 5: Solve for x
    x = 274,496.49/468.18
  6. Step 6: Final answer
    x = 586.31

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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.