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Finding the Fourth Proportional to 651.51, 899.10 and 371.82

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Solution

The fourth proportional to 651.51, 899.10 and 371.82 is: 513.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.51 : 899.10 = 371.82 : x
  2. Step 2: Convert to fraction form
    651.51/899.10 = 371.82/x
  3. Step 3: Cross multiply
    651.51x = 899.10 × 371.82
  4. Step 4: Simplify right side
    651.51x = 334,303.36
  5. Step 5: Solve for x
    x = 334,303.36/651.51
  6. Step 6: Final answer
    x = 513.12

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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.