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Finding the Fourth Proportional to 973, 1,459.50 and 289

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Solution

The fourth proportional to 973, 1,459.50 and 289 is: 433.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    973 : 1,459.50 = 289 : x
  2. Step 2: Convert to fraction form
    973/1,459.50 = 289/x
  3. Step 3: Cross multiply
    973x = 1,459.50 × 289
  4. Step 4: Simplify right side
    973x = 421,795.50
  5. Step 5: Solve for x
    x = 421,795.50/973
  6. Step 6: Final answer
    x = 433.50

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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.