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Finding the Fourth Proportional to 583.67, 803.62 and 473.51

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Solution

The fourth proportional to 583.67, 803.62 and 473.51 is: 651.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.67 : 803.62 = 473.51 : x
  2. Step 2: Convert to fraction form
    583.67/803.62 = 473.51/x
  3. Step 3: Cross multiply
    583.67x = 803.62 × 473.51
  4. Step 4: Simplify right side
    583.67x = 380,524.71
  5. Step 5: Solve for x
    x = 380,524.71/583.67
  6. Step 6: Final answer
    x = 651.95

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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.