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Finding the Fourth Proportional to 472.84, 652.82 and 307.32

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Solution

The fourth proportional to 472.84, 652.82 and 307.32 is: 424.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.84 : 652.82 = 307.32 : x
  2. Step 2: Convert to fraction form
    472.84/652.82 = 307.32/x
  3. Step 3: Cross multiply
    472.84x = 652.82 × 307.32
  4. Step 4: Simplify right side
    472.84x = 200,624.64
  5. Step 5: Solve for x
    x = 200,624.64/472.84
  6. Step 6: Final answer
    x = 424.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.