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Finding the Fourth Proportional to 530.90, 794.10 and 476.45

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Solution

The fourth proportional to 530.90, 794.10 and 476.45 is: 712.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.90 : 794.10 = 476.45 : x
  2. Step 2: Convert to fraction form
    530.90/794.10 = 476.45/x
  3. Step 3: Cross multiply
    530.90x = 794.10 × 476.45
  4. Step 4: Simplify right side
    530.90x = 378,348.95
  5. Step 5: Solve for x
    x = 378,348.95/530.90
  6. Step 6: Final answer
    x = 712.66

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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.