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Finding the Fourth Proportional to 497.09, 684.23 and 434.77

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Solution

The fourth proportional to 497.09, 684.23 and 434.77 is: 598.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.09 : 684.23 = 434.77 : x
  2. Step 2: Convert to fraction form
    497.09/684.23 = 434.77/x
  3. Step 3: Cross multiply
    497.09x = 684.23 × 434.77
  4. Step 4: Simplify right side
    497.09x = 297,478.79
  5. Step 5: Solve for x
    x = 297,478.79/497.09
  6. Step 6: Final answer
    x = 598.44

Related Problems

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1.5x scale

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.