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Finding the Fourth Proportional to 637.16, 955.58 and 465.84

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Solution

The fourth proportional to 637.16, 955.58 and 465.84 is: 698.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.16 : 955.58 = 465.84 : x
  2. Step 2: Convert to fraction form
    637.16/955.58 = 465.84/x
  3. Step 3: Cross multiply
    637.16x = 955.58 × 465.84
  4. Step 4: Simplify right side
    637.16x = 445,145.06
  5. Step 5: Solve for x
    x = 445,145.06/637.16
  6. Step 6: Final answer
    x = 698.64

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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.