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Finding the Fourth Proportional to 973.78, 1,460.20 and 357.06

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Solution

The fourth proportional to 973.78, 1,460.20 and 357.06 is: 535.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.78 : 1,460.20 = 357.06 : x
  2. Step 2: Convert to fraction form
    973.78/1,460.20 = 357.06/x
  3. Step 3: Cross multiply
    973.78x = 1,460.20 × 357.06
  4. Step 4: Simplify right side
    973.78x = 521,379.01
  5. Step 5: Solve for x
    x = 521,379.01/973.78
  6. Step 6: Final answer
    x = 535.42

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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.