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Finding the Fourth Proportional to 432.77, 595.94 and 292.82

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Solution

The fourth proportional to 432.77, 595.94 and 292.82 is: 403.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.77 : 595.94 = 292.82 : x
  2. Step 2: Convert to fraction form
    432.77/595.94 = 292.82/x
  3. Step 3: Cross multiply
    432.77x = 595.94 × 292.82
  4. Step 4: Simplify right side
    432.77x = 174,498.71
  5. Step 5: Solve for x
    x = 174,498.71/432.77
  6. Step 6: Final answer
    x = 403.22

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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.