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Finding the Fourth Proportional to 624.64, 859.84 and 540.58

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Solution

The fourth proportional to 624.64, 859.84 and 540.58 is: 744.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.64 : 859.84 = 540.58 : x
  2. Step 2: Convert to fraction form
    624.64/859.84 = 540.58/x
  3. Step 3: Cross multiply
    624.64x = 859.84 × 540.58
  4. Step 4: Simplify right side
    624.64x = 464,812.31
  5. Step 5: Solve for x
    x = 464,812.31/624.64
  6. Step 6: Final answer
    x = 744.13

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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.