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Finding the Fourth Proportional to 973.53, 1,459.94 and 315.38

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Solution

The fourth proportional to 973.53, 1,459.94 and 315.38 is: 472.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.53 : 1,459.94 = 315.38 : x
  2. Step 2: Convert to fraction form
    973.53/1,459.94 = 315.38/x
  3. Step 3: Cross multiply
    973.53x = 1,459.94 × 315.38
  4. Step 4: Simplify right side
    973.53x = 460,427.00
  5. Step 5: Solve for x
    x = 460,427.00/973.53
  6. Step 6: Final answer
    x = 472.95

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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.