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Finding the Fourth Proportional to 603.07, 830.13 and 525.31

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Solution

The fourth proportional to 603.07, 830.13 and 525.31 is: 723.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.07 : 830.13 = 525.31 : x
  2. Step 2: Convert to fraction form
    603.07/830.13 = 525.31/x
  3. Step 3: Cross multiply
    603.07x = 830.13 × 525.31
  4. Step 4: Simplify right side
    603.07x = 436,075.59
  5. Step 5: Solve for x
    x = 436,075.59/603.07
  6. Step 6: Final answer
    x = 723.09

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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.