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Finding the Fourth Proportional to 702.90, 1,055.00 and 356.48

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Solution

The fourth proportional to 702.90, 1,055.00 and 356.48 is: 535.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.90 : 1,055.00 = 356.48 : x
  2. Step 2: Convert to fraction form
    702.90/1,055.00 = 356.48/x
  3. Step 3: Cross multiply
    702.90x = 1,055.00 × 356.48
  4. Step 4: Simplify right side
    702.90x = 376,089.93
  5. Step 5: Solve for x
    x = 376,089.93/702.90
  6. Step 6: Final answer
    x = 535.05

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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.