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Finding the Fourth Proportional to 623.04, 859.12 and 424

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Solution

The fourth proportional to 623.04, 859.12 and 424 is: 584.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.04 : 859.12 = 424 : x
  2. Step 2: Convert to fraction form
    623.04/859.12 = 424/x
  3. Step 3: Cross multiply
    623.04x = 859.12 × 424
  4. Step 4: Simplify right side
    623.04x = 364,266.88
  5. Step 5: Solve for x
    x = 364,266.88/623.04
  6. Step 6: Final answer
    x = 584.66

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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.