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Finding the Fourth Proportional to 582.37, 803.07 and 405.53

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Solution

The fourth proportional to 582.37, 803.07 and 405.53 is: 559.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.37 : 803.07 = 405.53 : x
  2. Step 2: Convert to fraction form
    582.37/803.07 = 405.53/x
  3. Step 3: Cross multiply
    582.37x = 803.07 × 405.53
  4. Step 4: Simplify right side
    582.37x = 325,666.95
  5. Step 5: Solve for x
    x = 325,666.95/582.37
  6. Step 6: Final answer
    x = 559.21

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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.