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Finding the Fourth Proportional to 576.64, 795.54 and 401.68

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Solution

The fourth proportional to 576.64, 795.54 and 401.68 is: 554.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.64 : 795.54 = 401.68 : x
  2. Step 2: Convert to fraction form
    576.64/795.54 = 401.68/x
  3. Step 3: Cross multiply
    576.64x = 795.54 × 401.68
  4. Step 4: Simplify right side
    576.64x = 319,552.51
  5. Step 5: Solve for x
    x = 319,552.51/576.64
  6. Step 6: Final answer
    x = 554.16

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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.