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Finding the Fourth Proportional to 508.34, 702.26 and 384

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Solution

The fourth proportional to 508.34, 702.26 and 384 is: 530.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.34 : 702.26 = 384 : x
  2. Step 2: Convert to fraction form
    508.34/702.26 = 384/x
  3. Step 3: Cross multiply
    508.34x = 702.26 × 384
  4. Step 4: Simplify right side
    508.34x = 269,665.92
  5. Step 5: Solve for x
    x = 269,665.92/508.34
  6. Step 6: Final answer
    x = 530.49

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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.