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Finding the Fourth Proportional to 507.34, 756.79 and 458.13

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Solution

The fourth proportional to 507.34, 756.79 and 458.13 is: 683.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.34 : 756.79 = 458.13 : x
  2. Step 2: Convert to fraction form
    507.34/756.79 = 458.13/x
  3. Step 3: Cross multiply
    507.34x = 756.79 × 458.13
  4. Step 4: Simplify right side
    507.34x = 346,710.34
  5. Step 5: Solve for x
    x = 346,710.34/507.34
  6. Step 6: Final answer
    x = 683.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.