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Finding the Fourth Proportional to 430.74, 645.76 and 357.41

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Solution

The fourth proportional to 430.74, 645.76 and 357.41 is: 535.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.74 : 645.76 = 357.41 : x
  2. Step 2: Convert to fraction form
    430.74/645.76 = 357.41/x
  3. Step 3: Cross multiply
    430.74x = 645.76 × 357.41
  4. Step 4: Simplify right side
    430.74x = 230,802.34
  5. Step 5: Solve for x
    x = 230,802.34/430.74
  6. Step 6: Final answer
    x = 535.82

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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.