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Finding the Fourth Proportional to 973.28, 1,459.57 and 356.82

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Solution

The fourth proportional to 973.28, 1,459.57 and 356.82 is: 535.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.28 : 1,459.57 = 356.82 : x
  2. Step 2: Convert to fraction form
    973.28/1,459.57 = 356.82/x
  3. Step 3: Cross multiply
    973.28x = 1,459.57 × 356.82
  4. Step 4: Simplify right side
    973.28x = 520,803.77
  5. Step 5: Solve for x
    x = 520,803.77/973.28
  6. Step 6: Final answer
    x = 535.10

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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.