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Finding the Fourth Proportional to 530.60, 794.10 and 465.80

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Solution

The fourth proportional to 530.60, 794.10 and 465.80 is: 697.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.60 : 794.10 = 465.80 : x
  2. Step 2: Convert to fraction form
    530.60/794.10 = 465.80/x
  3. Step 3: Cross multiply
    530.60x = 794.10 × 465.80
  4. Step 4: Simplify right side
    530.60x = 369,891.78
  5. Step 5: Solve for x
    x = 369,891.78/530.60
  6. Step 6: Final answer
    x = 697.12

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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.