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Finding the Fourth Proportional to 567.84, 784.36 and 457.74

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Solution

The fourth proportional to 567.84, 784.36 and 457.74 is: 632.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.84 : 784.36 = 457.74 : x
  2. Step 2: Convert to fraction form
    567.84/784.36 = 457.74/x
  3. Step 3: Cross multiply
    567.84x = 784.36 × 457.74
  4. Step 4: Simplify right side
    567.84x = 359,032.95
  5. Step 5: Solve for x
    x = 359,032.95/567.84
  6. Step 6: Final answer
    x = 632.28

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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.