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Finding the Fourth Proportional to 431.53, 595.62 and 292.07

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Solution

The fourth proportional to 431.53, 595.62 and 292.07 is: 403.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.53 : 595.62 = 292.07 : x
  2. Step 2: Convert to fraction form
    431.53/595.62 = 292.07/x
  3. Step 3: Cross multiply
    431.53x = 595.62 × 292.07
  4. Step 4: Simplify right side
    431.53x = 173,964.22
  5. Step 5: Solve for x
    x = 173,964.22/431.53
  6. Step 6: Final answer
    x = 403.14

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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.