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Finding the Fourth Proportional to 508.51, 701.10 and 420.34

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Solution

The fourth proportional to 508.51, 701.10 and 420.34 is: 579.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.51 : 701.10 = 420.34 : x
  2. Step 2: Convert to fraction form
    508.51/701.10 = 420.34/x
  3. Step 3: Cross multiply
    508.51x = 701.10 × 420.34
  4. Step 4: Simplify right side
    508.51x = 294,700.37
  5. Step 5: Solve for x
    x = 294,700.37/508.51
  6. Step 6: Final answer
    x = 579.54

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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.