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Finding the Fourth Proportional to 924.19, 1,386.49 and 430.23

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Solution

The fourth proportional to 924.19, 1,386.49 and 430.23 is: 645.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.19 : 1,386.49 = 430.23 : x
  2. Step 2: Convert to fraction form
    924.19/1,386.49 = 430.23/x
  3. Step 3: Cross multiply
    924.19x = 1,386.49 × 430.23
  4. Step 4: Simplify right side
    924.19x = 596,507.44
  5. Step 5: Solve for x
    x = 596,507.44/924.19
  6. Step 6: Final answer
    x = 645.44

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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.