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Finding the Fourth Proportional to 616.98, 852.21 and 507.63

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Solution

The fourth proportional to 616.98, 852.21 and 507.63 is: 701.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.98 : 852.21 = 507.63 : x
  2. Step 2: Convert to fraction form
    616.98/852.21 = 507.63/x
  3. Step 3: Cross multiply
    616.98x = 852.21 × 507.63
  4. Step 4: Simplify right side
    616.98x = 432,607.36
  5. Step 5: Solve for x
    x = 432,607.36/616.98
  6. Step 6: Final answer
    x = 701.17

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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.