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Finding the Fourth Proportional to 623.12, 860.04 and 416

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Solution

The fourth proportional to 623.12, 860.04 and 416 is: 574.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.12 : 860.04 = 416 : x
  2. Step 2: Convert to fraction form
    623.12/860.04 = 416/x
  3. Step 3: Cross multiply
    623.12x = 860.04 × 416
  4. Step 4: Simplify right side
    623.12x = 357,776.64
  5. Step 5: Solve for x
    x = 357,776.64/623.12
  6. Step 6: Final answer
    x = 574.17

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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.