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Finding the Fourth Proportional to 458.83, 688.93 and 445.16

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Solution

The fourth proportional to 458.83, 688.93 and 445.16 is: 668.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.83 : 688.93 = 445.16 : x
  2. Step 2: Convert to fraction form
    458.83/688.93 = 445.16/x
  3. Step 3: Cross multiply
    458.83x = 688.93 × 445.16
  4. Step 4: Simplify right side
    458.83x = 306,684.69
  5. Step 5: Solve for x
    x = 306,684.69/458.83
  6. Step 6: Final answer
    x = 668.40

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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.