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Finding the Fourth Proportional to 530.50, 795.02 and 287.14

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Solution

The fourth proportional to 530.50, 795.02 and 287.14 is: 430.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.50 : 795.02 = 287.14 : x
  2. Step 2: Convert to fraction form
    530.50/795.02 = 287.14/x
  3. Step 3: Cross multiply
    530.50x = 795.02 × 287.14
  4. Step 4: Simplify right side
    530.50x = 228,282.04
  5. Step 5: Solve for x
    x = 228,282.04/530.50
  6. Step 6: Final answer
    x = 430.31

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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.