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Finding the Fourth Proportional to 973.06, 1,459.64 and 356.47

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Solution

The fourth proportional to 973.06, 1,459.64 and 356.47 is: 534.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.06 : 1,459.64 = 356.47 : x
  2. Step 2: Convert to fraction form
    973.06/1,459.64 = 356.47/x
  3. Step 3: Cross multiply
    973.06x = 1,459.64 × 356.47
  4. Step 4: Simplify right side
    973.06x = 520,316.09
  5. Step 5: Solve for x
    x = 520,316.09/973.06
  6. Step 6: Final answer
    x = 534.72

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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.