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Finding the Fourth Proportional to 552.64, 762.58 and 316.63

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Solution

The fourth proportional to 552.64, 762.58 and 316.63 is: 436.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.64 : 762.58 = 316.63 : x
  2. Step 2: Convert to fraction form
    552.64/762.58 = 316.63/x
  3. Step 3: Cross multiply
    552.64x = 762.58 × 316.63
  4. Step 4: Simplify right side
    552.64x = 241,455.71
  5. Step 5: Solve for x
    x = 241,455.71/552.64
  6. Step 6: Final answer
    x = 436.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.