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Finding the Fourth Proportional to 473.40, 653.28 and 307.68

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Solution

The fourth proportional to 473.40, 653.28 and 307.68 is: 424.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.40 : 653.28 = 307.68 : x
  2. Step 2: Convert to fraction form
    473.40/653.28 = 307.68/x
  3. Step 3: Cross multiply
    473.40x = 653.28 × 307.68
  4. Step 4: Simplify right side
    473.40x = 201,001.19
  5. Step 5: Solve for x
    x = 201,001.19/473.40
  6. Step 6: Final answer
    x = 424.59

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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.