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Finding the Fourth Proportional to 973.01, 1,459.61 and 356.77

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Solution

The fourth proportional to 973.01, 1,459.61 and 356.77 is: 535.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.01 : 1,459.61 = 356.77 : x
  2. Step 2: Convert to fraction form
    973.01/1,459.61 = 356.77/x
  3. Step 3: Cross multiply
    973.01x = 1,459.61 × 356.77
  4. Step 4: Simplify right side
    973.01x = 520,742.30
  5. Step 5: Solve for x
    x = 520,742.30/973.01
  6. Step 6: Final answer
    x = 535.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.