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Finding the Fourth Proportional to 468.51, 702.99 and 286.08

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Solution

The fourth proportional to 468.51, 702.99 and 286.08 is: 429.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.51 : 702.99 = 286.08 : x
  2. Step 2: Convert to fraction form
    468.51/702.99 = 286.08/x
  3. Step 3: Cross multiply
    468.51x = 702.99 × 286.08
  4. Step 4: Simplify right side
    468.51x = 201,111.38
  5. Step 5: Solve for x
    x = 201,111.38/468.51
  6. Step 6: Final answer
    x = 429.26

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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.