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Finding the Fourth Proportional to 530.61, 794.69 and 299.76

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Solution

The fourth proportional to 530.61, 794.69 and 299.76 is: 448.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.61 : 794.69 = 299.76 : x
  2. Step 2: Convert to fraction form
    530.61/794.69 = 299.76/x
  3. Step 3: Cross multiply
    530.61x = 794.69 × 299.76
  4. Step 4: Simplify right side
    530.61x = 238,216.27
  5. Step 5: Solve for x
    x = 238,216.27/530.61
  6. Step 6: Final answer
    x = 448.95

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Why These Related Problems?

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