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Finding the Fourth Proportional to 434.85, 598.91 and 403.53

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Solution

The fourth proportional to 434.85, 598.91 and 403.53 is: 555.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.85 : 598.91 = 403.53 : x
  2. Step 2: Convert to fraction form
    434.85/598.91 = 403.53/x
  3. Step 3: Cross multiply
    434.85x = 598.91 × 403.53
  4. Step 4: Simplify right side
    434.85x = 241,676.13
  5. Step 5: Solve for x
    x = 241,676.13/434.85
  6. Step 6: Final answer
    x = 555.77

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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.