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Finding the Fourth Proportional to 473.31, 652.95 and 307.77

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Solution

The fourth proportional to 473.31, 652.95 and 307.77 is: 424.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.31 : 652.95 = 307.77 : x
  2. Step 2: Convert to fraction form
    473.31/652.95 = 307.77/x
  3. Step 3: Cross multiply
    473.31x = 652.95 × 307.77
  4. Step 4: Simplify right side
    473.31x = 200,958.42
  5. Step 5: Solve for x
    x = 200,958.42/473.31
  6. Step 6: Final answer
    x = 424.58

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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.