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Finding the Fourth Proportional to 567.64, 783.40 and 319.02

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Solution

The fourth proportional to 567.64, 783.40 and 319.02 is: 440.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.64 : 783.40 = 319.02 : x
  2. Step 2: Convert to fraction form
    567.64/783.40 = 319.02/x
  3. Step 3: Cross multiply
    567.64x = 783.40 × 319.02
  4. Step 4: Simplify right side
    567.64x = 249,919.65
  5. Step 5: Solve for x
    x = 249,919.65/567.64
  6. Step 6: Final answer
    x = 440.28

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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.