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Finding the Fourth Proportional to 595.40, 891.71 and 457.39

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Solution

The fourth proportional to 595.40, 891.71 and 457.39 is: 685.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.40 : 891.71 = 457.39 : x
  2. Step 2: Convert to fraction form
    595.40/891.71 = 457.39/x
  3. Step 3: Cross multiply
    595.40x = 891.71 × 457.39
  4. Step 4: Simplify right side
    595.40x = 407,852.49
  5. Step 5: Solve for x
    x = 407,852.49/595.40
  6. Step 6: Final answer
    x = 685.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.