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Finding the Fourth Proportional to 946.27, 1,417.35 and 458.30

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Solution

The fourth proportional to 946.27, 1,417.35 and 458.30 is: 686.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.27 : 1,417.35 = 458.30 : x
  2. Step 2: Convert to fraction form
    946.27/1,417.35 = 458.30/x
  3. Step 3: Cross multiply
    946.27x = 1,417.35 × 458.30
  4. Step 4: Simplify right side
    946.27x = 649,567.94
  5. Step 5: Solve for x
    x = 649,567.94/946.27
  6. Step 6: Final answer
    x = 686.45

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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.