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Finding the Fourth Proportional to 530.16, 793.84 and 366.16

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Solution

The fourth proportional to 530.16, 793.84 and 366.16 is: 548.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.16 : 793.84 = 366.16 : x
  2. Step 2: Convert to fraction form
    530.16/793.84 = 366.16/x
  3. Step 3: Cross multiply
    530.16x = 793.84 × 366.16
  4. Step 4: Simplify right side
    530.16x = 290,672.45
  5. Step 5: Solve for x
    x = 290,672.45/530.16
  6. Step 6: Final answer
    x = 548.27

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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.