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Finding the Fourth Proportional to 973.63, 1,460.49 and 357.49

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Solution

The fourth proportional to 973.63, 1,460.49 and 357.49 is: 536.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.63 : 1,460.49 = 357.49 : x
  2. Step 2: Convert to fraction form
    973.63/1,460.49 = 357.49/x
  3. Step 3: Cross multiply
    973.63x = 1,460.49 × 357.49
  4. Step 4: Simplify right side
    973.63x = 522,110.57
  5. Step 5: Solve for x
    x = 522,110.57/973.63
  6. Step 6: Final answer
    x = 536.25

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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.