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Finding the Fourth Proportional to 507.47, 700.32 and 320.93

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Solution

The fourth proportional to 507.47, 700.32 and 320.93 is: 442.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.47 : 700.32 = 320.93 : x
  2. Step 2: Convert to fraction form
    507.47/700.32 = 320.93/x
  3. Step 3: Cross multiply
    507.47x = 700.32 × 320.93
  4. Step 4: Simplify right side
    507.47x = 224,750.20
  5. Step 5: Solve for x
    x = 224,750.20/507.47
  6. Step 6: Final answer
    x = 442.89

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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.