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Finding the Fourth Proportional to 630.02, 948.38 and 448.67

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Solution

The fourth proportional to 630.02, 948.38 and 448.67 is: 675.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.02 : 948.38 = 448.67 : x
  2. Step 2: Convert to fraction form
    630.02/948.38 = 448.67/x
  3. Step 3: Cross multiply
    630.02x = 948.38 × 448.67
  4. Step 4: Simplify right side
    630.02x = 425,509.78
  5. Step 5: Solve for x
    x = 425,509.78/630.02
  6. Step 6: Final answer
    x = 675.39

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.