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Finding the Fourth Proportional to 973.61, 1,460.01 and 357.34

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Solution

The fourth proportional to 973.61, 1,460.01 and 357.34 is: 535.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.61 : 1,460.01 = 357.34 : x
  2. Step 2: Convert to fraction form
    973.61/1,460.01 = 357.34/x
  3. Step 3: Cross multiply
    973.61x = 1,460.01 × 357.34
  4. Step 4: Simplify right side
    973.61x = 521,719.97
  5. Step 5: Solve for x
    x = 521,719.97/973.61
  6. Step 6: Final answer
    x = 535.86

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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.