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Finding the Fourth Proportional to 973.54, 1,460.43 and 357.54

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Solution

The fourth proportional to 973.54, 1,460.43 and 357.54 is: 536.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.54 : 1,460.43 = 357.54 : x
  2. Step 2: Convert to fraction form
    973.54/1,460.43 = 357.54/x
  3. Step 3: Cross multiply
    973.54x = 1,460.43 × 357.54
  4. Step 4: Simplify right side
    973.54x = 522,162.14
  5. Step 5: Solve for x
    x = 522,162.14/973.54
  6. Step 6: Final answer
    x = 536.35

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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.