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Finding the Fourth Proportional to 421.06, 630.51 and 384.34

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Solution

The fourth proportional to 421.06, 630.51 and 384.34 is: 575.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.06 : 630.51 = 384.34 : x
  2. Step 2: Convert to fraction form
    421.06/630.51 = 384.34/x
  3. Step 3: Cross multiply
    421.06x = 630.51 × 384.34
  4. Step 4: Simplify right side
    421.06x = 242,327.20
  5. Step 5: Solve for x
    x = 242,327.20/421.06
  6. Step 6: Final answer
    x = 575.52

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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.