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Finding the Fourth Proportional to 431.84, 595.71 and 291.77

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Solution

The fourth proportional to 431.84, 595.71 and 291.77 is: 402.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.84 : 595.71 = 291.77 : x
  2. Step 2: Convert to fraction form
    431.84/595.71 = 291.77/x
  3. Step 3: Cross multiply
    431.84x = 595.71 × 291.77
  4. Step 4: Simplify right side
    431.84x = 173,807.33
  5. Step 5: Solve for x
    x = 173,807.33/431.84
  6. Step 6: Final answer
    x = 402.49

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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.