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Finding the Fourth Proportional to 430.39, 642.45 and 373.02

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Solution

The fourth proportional to 430.39, 642.45 and 373.02 is: 556.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.39 : 642.45 = 373.02 : x
  2. Step 2: Convert to fraction form
    430.39/642.45 = 373.02/x
  3. Step 3: Cross multiply
    430.39x = 642.45 × 373.02
  4. Step 4: Simplify right side
    430.39x = 239,646.70
  5. Step 5: Solve for x
    x = 239,646.70/430.39
  6. Step 6: Final answer
    x = 556.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.