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Finding the Fourth Proportional to 973.07, 1,459.18 and 279.58

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Solution

The fourth proportional to 973.07, 1,459.18 and 279.58 is: 419.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.07 : 1,459.18 = 279.58 : x
  2. Step 2: Convert to fraction form
    973.07/1,459.18 = 279.58/x
  3. Step 3: Cross multiply
    973.07x = 1,459.18 × 279.58
  4. Step 4: Simplify right side
    973.07x = 407,953.20
  5. Step 5: Solve for x
    x = 407,953.20/973.07
  6. Step 6: Final answer
    x = 419.24

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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.