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Finding the Fourth Proportional to 507.34, 699.66 and 320.58

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Solution

The fourth proportional to 507.34, 699.66 and 320.58 is: 442.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.34 : 699.66 = 320.58 : x
  2. Step 2: Convert to fraction form
    507.34/699.66 = 320.58/x
  3. Step 3: Cross multiply
    507.34x = 699.66 × 320.58
  4. Step 4: Simplify right side
    507.34x = 224,297.00
  5. Step 5: Solve for x
    x = 224,297.00/507.34
  6. Step 6: Final answer
    x = 442.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.