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Finding the Fourth Proportional to 536.70, 803.94 and 530.22

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Solution

The fourth proportional to 536.70, 803.94 and 530.22 is: 794.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.70 : 803.94 = 530.22 : x
  2. Step 2: Convert to fraction form
    536.70/803.94 = 530.22/x
  3. Step 3: Cross multiply
    536.70x = 803.94 × 530.22
  4. Step 4: Simplify right side
    536.70x = 426,265.07
  5. Step 5: Solve for x
    x = 426,265.07/536.70
  6. Step 6: Final answer
    x = 794.23

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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.