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Finding the Fourth Proportional to 466.25, 695.26 and 432.77

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Solution

The fourth proportional to 466.25, 695.26 and 432.77 is: 645.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.25 : 695.26 = 432.77 : x
  2. Step 2: Convert to fraction form
    466.25/695.26 = 432.77/x
  3. Step 3: Cross multiply
    466.25x = 695.26 × 432.77
  4. Step 4: Simplify right side
    466.25x = 300,885.51
  5. Step 5: Solve for x
    x = 300,885.51/466.25
  6. Step 6: Final answer
    x = 645.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.