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Finding the Fourth Proportional to 509.16, 702.70 and 288.17

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Solution

The fourth proportional to 509.16, 702.70 and 288.17 is: 397.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.16 : 702.70 = 288.17 : x
  2. Step 2: Convert to fraction form
    509.16/702.70 = 288.17/x
  3. Step 3: Cross multiply
    509.16x = 702.70 × 288.17
  4. Step 4: Simplify right side
    509.16x = 202,492.83
  5. Step 5: Solve for x
    x = 202,492.83/509.16
  6. Step 6: Final answer
    x = 397.70

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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.