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Finding the Fourth Proportional to 975.09, 1,462.59 and 358.68

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Solution

The fourth proportional to 975.09, 1,462.59 and 358.68 is: 538.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.09 : 1,462.59 = 358.68 : x
  2. Step 2: Convert to fraction form
    975.09/1,462.59 = 358.68/x
  3. Step 3: Cross multiply
    975.09x = 1,462.59 × 358.68
  4. Step 4: Simplify right side
    975.09x = 524,601.78
  5. Step 5: Solve for x
    x = 524,601.78/975.09
  6. Step 6: Final answer
    x = 538.00

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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.