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Finding the Fourth Proportional to 364.16, 504.88 and 352.16

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Solution

The fourth proportional to 364.16, 504.88 and 352.16 is: 488.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.16 : 504.88 = 352.16 : x
  2. Step 2: Convert to fraction form
    364.16/504.88 = 352.16/x
  3. Step 3: Cross multiply
    364.16x = 504.88 × 352.16
  4. Step 4: Simplify right side
    364.16x = 177,798.54
  5. Step 5: Solve for x
    x = 177,798.54/364.16
  6. Step 6: Final answer
    x = 488.24

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.