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Finding the Fourth Proportional to 702.30, 1,053.59 and 355.83

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Solution

The fourth proportional to 702.30, 1,053.59 and 355.83 is: 533.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.30 : 1,053.59 = 355.83 : x
  2. Step 2: Convert to fraction form
    702.30/1,053.59 = 355.83/x
  3. Step 3: Cross multiply
    702.30x = 1,053.59 × 355.83
  4. Step 4: Simplify right side
    702.30x = 374,898.93
  5. Step 5: Solve for x
    x = 374,898.93/702.30
  6. Step 6: Final answer
    x = 533.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.