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Finding the Fourth Proportional to 530.80, 795.17 and 442.64

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Solution

The fourth proportional to 530.80, 795.17 and 442.64 is: 663.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.80 : 795.17 = 442.64 : x
  2. Step 2: Convert to fraction form
    530.80/795.17 = 442.64/x
  3. Step 3: Cross multiply
    530.80x = 795.17 × 442.64
  4. Step 4: Simplify right side
    530.80x = 351,971.18
  5. Step 5: Solve for x
    x = 351,971.18/530.80
  6. Step 6: Final answer
    x = 663.10

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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.