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Finding the Fourth Proportional to 623.61, 933.57 and 596.88

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Solution

The fourth proportional to 623.61, 933.57 and 596.88 is: 893.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.61 : 933.57 = 596.88 : x
  2. Step 2: Convert to fraction form
    623.61/933.57 = 596.88/x
  3. Step 3: Cross multiply
    623.61x = 933.57 × 596.88
  4. Step 4: Simplify right side
    623.61x = 557,229.26
  5. Step 5: Solve for x
    x = 557,229.26/623.61
  6. Step 6: Final answer
    x = 893.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.