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Finding the Fourth Proportional to 476.16, 656.44 and 465.81

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Solution

The fourth proportional to 476.16, 656.44 and 465.81 is: 642.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.16 : 656.44 = 465.81 : x
  2. Step 2: Convert to fraction form
    476.16/656.44 = 465.81/x
  3. Step 3: Cross multiply
    476.16x = 656.44 × 465.81
  4. Step 4: Simplify right side
    476.16x = 305,776.32
  5. Step 5: Solve for x
    x = 305,776.32/476.16
  6. Step 6: Final answer
    x = 642.17

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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.