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Finding the Fourth Proportional to 956.79, 1,435.10 and 307.53

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Solution

The fourth proportional to 956.79, 1,435.10 and 307.53 is: 461.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.79 : 1,435.10 = 307.53 : x
  2. Step 2: Convert to fraction form
    956.79/1,435.10 = 307.53/x
  3. Step 3: Cross multiply
    956.79x = 1,435.10 × 307.53
  4. Step 4: Simplify right side
    956.79x = 441,334.77
  5. Step 5: Solve for x
    x = 441,334.77/956.79
  6. Step 6: Final answer
    x = 461.27

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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.