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Finding the Fourth Proportional to 507.65, 761.90 and 392.40

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Solution

The fourth proportional to 507.65, 761.90 and 392.40 is: 588.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.65 : 761.90 = 392.40 : x
  2. Step 2: Convert to fraction form
    507.65/761.90 = 392.40/x
  3. Step 3: Cross multiply
    507.65x = 761.90 × 392.40
  4. Step 4: Simplify right side
    507.65x = 298,967.60
  5. Step 5: Solve for x
    x = 298,967.60/507.65
  6. Step 6: Final answer
    x = 588.93

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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.