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Finding the Fourth Proportional to 973.95, 1,460.93 and 357.66

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Solution

The fourth proportional to 973.95, 1,460.93 and 357.66 is: 536.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.95 : 1,460.93 = 357.66 : x
  2. Step 2: Convert to fraction form
    973.95/1,460.93 = 357.66/x
  3. Step 3: Cross multiply
    973.95x = 1,460.93 × 357.66
  4. Step 4: Simplify right side
    973.95x = 522,514.44
  5. Step 5: Solve for x
    x = 522,514.44/973.95
  6. Step 6: Final answer
    x = 536.49

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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.