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Finding the Fourth Proportional to 420.58, 630.70 and 146.53

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Solution

The fourth proportional to 420.58, 630.70 and 146.53 is: 219.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.58 : 630.70 = 146.53 : x
  2. Step 2: Convert to fraction form
    420.58/630.70 = 146.53/x
  3. Step 3: Cross multiply
    420.58x = 630.70 × 146.53
  4. Step 4: Simplify right side
    420.58x = 92,416.47
  5. Step 5: Solve for x
    x = 92,416.47/420.58
  6. Step 6: Final answer
    x = 219.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.