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Finding the Fourth Proportional to 662.04, 912.54 and 465.96

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Solution

The fourth proportional to 662.04, 912.54 and 465.96 is: 642.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.04 : 912.54 = 465.96 : x
  2. Step 2: Convert to fraction form
    662.04/912.54 = 465.96/x
  3. Step 3: Cross multiply
    662.04x = 912.54 × 465.96
  4. Step 4: Simplify right side
    662.04x = 425,207.14
  5. Step 5: Solve for x
    x = 425,207.14/662.04
  6. Step 6: Final answer
    x = 642.27

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1.5x scale

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.