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Finding the Fourth Proportional to 420.58, 579.75 and 315.52

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Solution

The fourth proportional to 420.58, 579.75 and 315.52 is: 434.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.58 : 579.75 = 315.52 : x
  2. Step 2: Convert to fraction form
    420.58/579.75 = 315.52/x
  3. Step 3: Cross multiply
    420.58x = 579.75 × 315.52
  4. Step 4: Simplify right side
    420.58x = 182,922.72
  5. Step 5: Solve for x
    x = 182,922.72/420.58
  6. Step 6: Final answer
    x = 434.93

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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.