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Finding the Fourth Proportional to 508.83, 702.69 and 405.02

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Solution

The fourth proportional to 508.83, 702.69 and 405.02 is: 559.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.83 : 702.69 = 405.02 : x
  2. Step 2: Convert to fraction form
    508.83/702.69 = 405.02/x
  3. Step 3: Cross multiply
    508.83x = 702.69 × 405.02
  4. Step 4: Simplify right side
    508.83x = 284,599.99
  5. Step 5: Solve for x
    x = 284,599.99/508.83
  6. Step 6: Final answer
    x = 559.32

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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.