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Finding the Fourth Proportional to 946.34, 1,419.51 and 297.13

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Solution

The fourth proportional to 946.34, 1,419.51 and 297.13 is: 445.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.34 : 1,419.51 = 297.13 : x
  2. Step 2: Convert to fraction form
    946.34/1,419.51 = 297.13/x
  3. Step 3: Cross multiply
    946.34x = 1,419.51 × 297.13
  4. Step 4: Simplify right side
    946.34x = 421,779.01
  5. Step 5: Solve for x
    x = 421,779.01/946.34
  6. Step 6: Final answer
    x = 445.70

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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.