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Finding the Fourth Proportional to 657.64, 983.26 and 465

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Solution

The fourth proportional to 657.64, 983.26 and 465 is: 695.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.64 : 983.26 = 465 : x
  2. Step 2: Convert to fraction form
    657.64/983.26 = 465/x
  3. Step 3: Cross multiply
    657.64x = 983.26 × 465
  4. Step 4: Simplify right side
    657.64x = 457,215.90
  5. Step 5: Solve for x
    x = 457,215.90/657.64
  6. Step 6: Final answer
    x = 695.24

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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.