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Finding the Fourth Proportional to 623.64, 933.76 and 440.58

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Solution

The fourth proportional to 623.64, 933.76 and 440.58 is: 659.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.64 : 933.76 = 440.58 : x
  2. Step 2: Convert to fraction form
    623.64/933.76 = 440.58/x
  3. Step 3: Cross multiply
    623.64x = 933.76 × 440.58
  4. Step 4: Simplify right side
    623.64x = 411,395.98
  5. Step 5: Solve for x
    x = 411,395.98/623.64
  6. Step 6: Final answer
    x = 659.67

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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.