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Finding the Fourth Proportional to 615.36, 848.88 and 408

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Solution

The fourth proportional to 615.36, 848.88 and 408 is: 562.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.36 : 848.88 = 408 : x
  2. Step 2: Convert to fraction form
    615.36/848.88 = 408/x
  3. Step 3: Cross multiply
    615.36x = 848.88 × 408
  4. Step 4: Simplify right side
    615.36x = 346,343.04
  5. Step 5: Solve for x
    x = 346,343.04/615.36
  6. Step 6: Final answer
    x = 562.83

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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.