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Finding the Fourth Proportional to 623.94, 860.64 and 414.18

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Solution

The fourth proportional to 623.94, 860.64 and 414.18 is: 571.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.94 : 860.64 = 414.18 : x
  2. Step 2: Convert to fraction form
    623.94/860.64 = 414.18/x
  3. Step 3: Cross multiply
    623.94x = 860.64 × 414.18
  4. Step 4: Simplify right side
    623.94x = 356,459.88
  5. Step 5: Solve for x
    x = 356,459.88/623.94
  6. Step 6: Final answer
    x = 571.30

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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.