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Finding the Fourth Proportional to 623.40, 859.94 and 390.12

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Solution

The fourth proportional to 623.40, 859.94 and 390.12 is: 538.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.40 : 859.94 = 390.12 : x
  2. Step 2: Convert to fraction form
    623.40/859.94 = 390.12/x
  3. Step 3: Cross multiply
    623.40x = 859.94 × 390.12
  4. Step 4: Simplify right side
    623.40x = 335,479.79
  5. Step 5: Solve for x
    x = 335,479.79/623.40
  6. Step 6: Final answer
    x = 538.15

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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.