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Finding the Fourth Proportional to 473.33, 652.82 and 307.59

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Solution

The fourth proportional to 473.33, 652.82 and 307.59 is: 424.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.33 : 652.82 = 307.59 : x
  2. Step 2: Convert to fraction form
    473.33/652.82 = 307.59/x
  3. Step 3: Cross multiply
    473.33x = 652.82 × 307.59
  4. Step 4: Simplify right side
    473.33x = 200,802.93
  5. Step 5: Solve for x
    x = 200,802.93/473.33
  6. Step 6: Final answer
    x = 424.24

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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.