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Finding the Fourth Proportional to 589.49, 813.64 and 340.77

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Solution

The fourth proportional to 589.49, 813.64 and 340.77 is: 470.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.49 : 813.64 = 340.77 : x
  2. Step 2: Convert to fraction form
    589.49/813.64 = 340.77/x
  3. Step 3: Cross multiply
    589.49x = 813.64 × 340.77
  4. Step 4: Simplify right side
    589.49x = 277,264.65
  5. Step 5: Solve for x
    x = 277,264.65/589.49
  6. Step 6: Final answer
    x = 470.35

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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.