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Finding the Fourth Proportional to 567.65, 783.38 and 319.00

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Solution

The fourth proportional to 567.65, 783.38 and 319.00 is: 440.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.65 : 783.38 = 319.00 : x
  2. Step 2: Convert to fraction form
    567.65/783.38 = 319.00/x
  3. Step 3: Cross multiply
    567.65x = 783.38 × 319.00
  4. Step 4: Simplify right side
    567.65x = 249,894.67
  5. Step 5: Solve for x
    x = 249,894.67/567.65
  6. Step 6: Final answer
    x = 440.22

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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.