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Finding the Fourth Proportional to 468.40, 702.08 and 208.08

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Solution

The fourth proportional to 468.40, 702.08 and 208.08 is: 311.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.40 : 702.08 = 208.08 : x
  2. Step 2: Convert to fraction form
    468.40/702.08 = 208.08/x
  3. Step 3: Cross multiply
    468.40x = 702.08 × 208.08
  4. Step 4: Simplify right side
    468.40x = 146,088.81
  5. Step 5: Solve for x
    x = 146,088.81/468.40
  6. Step 6: Final answer
    x = 311.89

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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.