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Finding the Fourth Proportional to 623.46, 933.09 and 477.42

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Solution

The fourth proportional to 623.46, 933.09 and 477.42 is: 714.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.46 : 933.09 = 477.42 : x
  2. Step 2: Convert to fraction form
    623.46/933.09 = 477.42/x
  3. Step 3: Cross multiply
    623.46x = 933.09 × 477.42
  4. Step 4: Simplify right side
    623.46x = 445,475.83
  5. Step 5: Solve for x
    x = 445,475.83/623.46
  6. Step 6: Final answer
    x = 714.52

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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.