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Finding the Fourth Proportional to 582.03, 800.51 and 508.41

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Solution

The fourth proportional to 582.03, 800.51 and 508.41 is: 699.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.03 : 800.51 = 508.41 : x
  2. Step 2: Convert to fraction form
    582.03/800.51 = 508.41/x
  3. Step 3: Cross multiply
    582.03x = 800.51 × 508.41
  4. Step 4: Simplify right side
    582.03x = 406,984.75
  5. Step 5: Solve for x
    x = 406,984.75/582.03
  6. Step 6: Final answer
    x = 699.25

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