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Finding the Fourth Proportional to 530.62, 794.64 and 448.62

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Solution

The fourth proportional to 530.62, 794.64 and 448.62 is: 671.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.62 : 794.64 = 448.62 : x
  2. Step 2: Convert to fraction form
    530.62/794.64 = 448.62/x
  3. Step 3: Cross multiply
    530.62x = 794.64 × 448.62
  4. Step 4: Simplify right side
    530.62x = 356,491.40
  5. Step 5: Solve for x
    x = 356,491.40/530.62
  6. Step 6: Final answer
    x = 671.84

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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.