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Finding the Fourth Proportional to 971.90, 1,458.54 and 355.70

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Solution

The fourth proportional to 971.90, 1,458.54 and 355.70 is: 533.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.90 : 1,458.54 = 355.70 : x
  2. Step 2: Convert to fraction form
    971.90/1,458.54 = 355.70/x
  3. Step 3: Cross multiply
    971.90x = 1,458.54 × 355.70
  4. Step 4: Simplify right side
    971.90x = 518,802.68
  5. Step 5: Solve for x
    x = 518,802.68/971.90
  6. Step 6: Final answer
    x = 533.80

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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.