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Finding the Fourth Proportional to 508.11, 700.47 and 419.28

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Solution

The fourth proportional to 508.11, 700.47 and 419.28 is: 578.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.11 : 700.47 = 419.28 : x
  2. Step 2: Convert to fraction form
    508.11/700.47 = 419.28/x
  3. Step 3: Cross multiply
    508.11x = 700.47 × 419.28
  4. Step 4: Simplify right side
    508.11x = 293,693.06
  5. Step 5: Solve for x
    x = 293,693.06/508.11
  6. Step 6: Final answer
    x = 578.01

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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.