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Finding the Fourth Proportional to 973.65, 1,460.08 and 357.18

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Solution

The fourth proportional to 973.65, 1,460.08 and 357.18 is: 535.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.65 : 1,460.08 = 357.18 : x
  2. Step 2: Convert to fraction form
    973.65/1,460.08 = 357.18/x
  3. Step 3: Cross multiply
    973.65x = 1,460.08 × 357.18
  4. Step 4: Simplify right side
    973.65x = 521,511.37
  5. Step 5: Solve for x
    x = 521,511.37/973.65
  6. Step 6: Final answer
    x = 535.63

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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.