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Finding the Fourth Proportional to 592.32, 818.28 and 505.20

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Solution

The fourth proportional to 592.32, 818.28 and 505.20 is: 697.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.32 : 818.28 = 505.20 : x
  2. Step 2: Convert to fraction form
    592.32/818.28 = 505.20/x
  3. Step 3: Cross multiply
    592.32x = 818.28 × 505.20
  4. Step 4: Simplify right side
    592.32x = 413,395.06
  5. Step 5: Solve for x
    x = 413,395.06/592.32
  6. Step 6: Final answer
    x = 697.93

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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.