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Finding the Fourth Proportional to 702.77, 970.10 and 437.28

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Solution

The fourth proportional to 702.77, 970.10 and 437.28 is: 603.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.77 : 970.10 = 437.28 : x
  2. Step 2: Convert to fraction form
    702.77/970.10 = 437.28/x
  3. Step 3: Cross multiply
    702.77x = 970.10 × 437.28
  4. Step 4: Simplify right side
    702.77x = 424,201.14
  5. Step 5: Solve for x
    x = 424,201.14/702.77
  6. Step 6: Final answer
    x = 603.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.