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Finding the Fourth Proportional to 716.51, 988.85 and 421.77

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Solution

The fourth proportional to 716.51, 988.85 and 421.77 is: 582.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.51 : 988.85 = 421.77 : x
  2. Step 2: Convert to fraction form
    716.51/988.85 = 421.77/x
  3. Step 3: Cross multiply
    716.51x = 988.85 × 421.77
  4. Step 4: Simplify right side
    716.51x = 417,064.61
  5. Step 5: Solve for x
    x = 417,064.61/716.51
  6. Step 6: Final answer
    x = 582.08

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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.