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Finding the Fourth Proportional to 431.76, 595.04 and 307.42

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Solution

The fourth proportional to 431.76, 595.04 and 307.42 is: 423.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.76 : 595.04 = 307.42 : x
  2. Step 2: Convert to fraction form
    431.76/595.04 = 307.42/x
  3. Step 3: Cross multiply
    431.76x = 595.04 × 307.42
  4. Step 4: Simplify right side
    431.76x = 182,927.20
  5. Step 5: Solve for x
    x = 182,927.20/431.76
  6. Step 6: Final answer
    x = 423.68

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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.