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Finding the Fourth Proportional to 508.74, 702.16 and 298.93

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Solution

The fourth proportional to 508.74, 702.16 and 298.93 is: 412.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.74 : 702.16 = 298.93 : x
  2. Step 2: Convert to fraction form
    508.74/702.16 = 298.93/x
  3. Step 3: Cross multiply
    508.74x = 702.16 × 298.93
  4. Step 4: Simplify right side
    508.74x = 209,896.69
  5. Step 5: Solve for x
    x = 209,896.69/508.74
  6. Step 6: Final answer
    x = 412.58

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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.