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Finding the Fourth Proportional to 623.04, 859.17 and 534.84

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Solution

The fourth proportional to 623.04, 859.17 and 534.84 is: 737.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.04 : 859.17 = 534.84 : x
  2. Step 2: Convert to fraction form
    623.04/859.17 = 534.84/x
  3. Step 3: Cross multiply
    623.04x = 859.17 × 534.84
  4. Step 4: Simplify right side
    623.04x = 459,518.48
  5. Step 5: Solve for x
    x = 459,518.48/623.04
  6. Step 6: Final answer
    x = 737.54

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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.