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Finding the Fourth Proportional to 954.17, 1,431.20 and 368.93

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Solution

The fourth proportional to 954.17, 1,431.20 and 368.93 is: 553.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.17 : 1,431.20 = 368.93 : x
  2. Step 2: Convert to fraction form
    954.17/1,431.20 = 368.93/x
  3. Step 3: Cross multiply
    954.17x = 1,431.20 × 368.93
  4. Step 4: Simplify right side
    954.17x = 528,010.77
  5. Step 5: Solve for x
    x = 528,010.77/954.17
  6. Step 6: Final answer
    x = 553.37

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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.