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Finding the Fourth Proportional to 434.12, 598.80 and 302.96

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Solution

The fourth proportional to 434.12, 598.80 and 302.96 is: 417.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.12 : 598.80 = 302.96 : x
  2. Step 2: Convert to fraction form
    434.12/598.80 = 302.96/x
  3. Step 3: Cross multiply
    434.12x = 598.80 × 302.96
  4. Step 4: Simplify right side
    434.12x = 181,412.45
  5. Step 5: Solve for x
    x = 181,412.45/434.12
  6. Step 6: Final answer
    x = 417.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.