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Finding the Fourth Proportional to 592.13, 813.80 and 460.91

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Solution

The fourth proportional to 592.13, 813.80 and 460.91 is: 633.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.13 : 813.80 = 460.91 : x
  2. Step 2: Convert to fraction form
    592.13/813.80 = 460.91/x
  3. Step 3: Cross multiply
    592.13x = 813.80 × 460.91
  4. Step 4: Simplify right side
    592.13x = 375,091.74
  5. Step 5: Solve for x
    x = 375,091.74/592.13
  6. Step 6: Final answer
    x = 633.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.