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Finding the Fourth Proportional to 530.49, 795.14 and 299.04

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Solution

The fourth proportional to 530.49, 795.14 and 299.04 is: 448.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.49 : 795.14 = 299.04 : x
  2. Step 2: Convert to fraction form
    530.49/795.14 = 299.04/x
  3. Step 3: Cross multiply
    530.49x = 795.14 × 299.04
  4. Step 4: Simplify right side
    530.49x = 237,777.17
  5. Step 5: Solve for x
    x = 237,777.17/530.49
  6. Step 6: Final answer
    x = 448.22

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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.