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Finding the Fourth Proportional to 593.61, 818.84 and 407.00

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Solution

The fourth proportional to 593.61, 818.84 and 407.00 is: 561.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.61 : 818.84 = 407.00 : x
  2. Step 2: Convert to fraction form
    593.61/818.84 = 407.00/x
  3. Step 3: Cross multiply
    593.61x = 818.84 × 407.00
  4. Step 4: Simplify right side
    593.61x = 333,261.75
  5. Step 5: Solve for x
    x = 333,261.75/593.61
  6. Step 6: Final answer
    x = 561.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.