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Finding the Fourth Proportional to 935.72, 1,403.59 and 286.46

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Solution

The fourth proportional to 935.72, 1,403.59 and 286.46 is: 429.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.72 : 1,403.59 = 286.46 : x
  2. Step 2: Convert to fraction form
    935.72/1,403.59 = 286.46/x
  3. Step 3: Cross multiply
    935.72x = 1,403.59 × 286.46
  4. Step 4: Simplify right side
    935.72x = 402,075.18
  5. Step 5: Solve for x
    x = 402,075.18/935.72
  6. Step 6: Final answer
    x = 429.69

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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.