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Finding the Fourth Proportional to 645.60, 890.88 and 446.16

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Solution

The fourth proportional to 645.60, 890.88 and 446.16 is: 615.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.60 : 890.88 = 446.16 : x
  2. Step 2: Convert to fraction form
    645.60/890.88 = 446.16/x
  3. Step 3: Cross multiply
    645.60x = 890.88 × 446.16
  4. Step 4: Simplify right side
    645.60x = 397,475.02
  5. Step 5: Solve for x
    x = 397,475.02/645.60
  6. Step 6: Final answer
    x = 615.67

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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.